Isoperimetric problems and lower bounds on curvature | Paper Citation Record

Observation d76709ea-ad59-44d0-8ad4-ff79eb00b97e · outbound

This paper cites Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature.

Isoperimetric problems and lower bounds on curvature Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative Ricci curvature

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This paper cites Uniqueness theorems for surfaces in the large. I.

Isoperimetric problems and lower bounds on curvature Uniqueness theorems for surfaces in the large. I

Reference 2

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This paper cites Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces.

Isoperimetric problems and lower bounds on curvature Some fine properties of sets of finite perimeter in Ahlfors regular metric measure spaces

Reference 3

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This paper cites Calculus, heat flow and curvature-dimension bounds in metric mea- sure spaces.

Isoperimetric problems and lower bounds on curvature Calculus, heat flow and curvature-dimension bounds in metric mea- sure spaces

Reference 4

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This paper cites Ambrosio, E.

Isoperimetric problems and lower bounds on curvature Ambrosio, E

Reference 5

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This paper cites Rigidity of the 1-Bakry- ´Emery inequality and sets of finite perimeter in RCD spaces.

Isoperimetric problems and lower bounds on curvature Rigidity of the 1-Bakry- ´Emery inequality and sets of finite perimeter in RCD spaces

Reference 6

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This paper cites Perimeter as relaxed Minkowski content in metric measure spaces.

Isoperimetric problems and lower bounds on curvature Perimeter as relaxed Minkowski content in metric measure spaces

Reference 7

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Observation 33f8cdf0-c0c4-4fe3-b0a9-659171f7eda4 · outbound

This paper cites Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below.

Isoperimetric problems and lower bounds on curvature Calculus and heat flow in metric measure spaces and applications to spaces with Ricci bounds from below

Reference 8

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Observation 26ee8103-0b41-4fbf-8c3b-0e3e43700f9e · outbound

This paper cites Metric measure spaces with Riemannian Ricci curvature bounded from below.

Isoperimetric problems and lower bounds on curvature Metric measure spaces with Riemannian Ricci curvature bounded from below

Reference 9

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This paper cites The rank-one theorem on RCD spaces.

Isoperimetric problems and lower bounds on curvature The rank-one theorem on RCD spaces

Reference 10

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This paper cites On the existence of isoperi- metric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth.

Isoperimetric problems and lower bounds on curvature On the existence of isoperi- metric regions in manifolds with nonnegative Ricci curvature and Euclidean volume growth

Reference 11

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Observation 87eaed61-d94a-43b5-a266-50692a6a06c6 · outbound

This paper cites The isoperimetric problem on Rie- mannian manifolds via Gromov-Hausdorff asymptotic analysis.

Isoperimetric problems and lower bounds on curvature The isoperimetric problem on Rie- mannian manifolds via Gromov-Hausdorff asymptotic analysis

Reference 12

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Observation b2a09197-66fb-4d23-b8b2-3e9bf2394e64 · outbound

This paper cites Nonexistence of isoperimetric sets in spaces of pos- itive curvature.

Isoperimetric problems and lower bounds on curvature Nonexistence of isoperimetric sets in spaces of pos- itive curvature

Reference 13

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Observation 7132acc1-eb25-4391-9111-1cfa34afd164 · outbound

This paper cites The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds.

Isoperimetric problems and lower bounds on curvature The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds

Reference 14

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Observation 196517c3-022d-468c-a29f-3f6d8249a188 · outbound

This paper cites Isoperimetric sets in spaces with lower bounds on the Ricci curvature.

Isoperimetric problems and lower bounds on curvature Isoperimetric sets in spaces with lower bounds on the Ricci curvature

Reference 15

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Observation d6c621ec-501b-4aa0-92d9-ba526fa0795d · outbound

This paper cites Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds.

Isoperimetric problems and lower bounds on curvature Asymptotic isoperimetry on non collapsed spaces with lower Ricci bounds

Reference 16

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This paper cites Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds.

Isoperimetric problems and lower bounds on curvature Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds

Reference 17

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Observation ca482517-5b55-4688-9461-a8b0d2c1c035 · outbound

This paper cites Topological regularity of isoperimetric sets in PI spaces having a deformation property.

Isoperimetric problems and lower bounds on curvature Topological regularity of isoperimetric sets in PI spaces having a deformation property

Reference 18

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Observation 2f708819-bf2a-4927-99c5-e94816b8eeb5 · outbound

This paper cites Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature.

Isoperimetric problems and lower bounds on curvature Isoperimetric problem and structure at infinity on Alexandrov spaces with nonnegative curvature

Reference 19

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Observation b312fe5b-34a3-49b1-a38a-896eade0c118 · outbound

This paper cites A note on the stable Bernstein theorem.

Isoperimetric problems and lower bounds on curvature A note on the stable Bernstein theorem

Reference 20

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This paper cites New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry.

Isoperimetric problems and lower bounds on curvature New spectral Bishop-Gromov and Bonnet-Myers theorems and applications to isoperimetry

Reference 21

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Observation 17458a5c-6a0b-4176-8e29-666fe5882ae8 · outbound

This paper cites Ballmann, M.

Isoperimetric problems and lower bounds on curvature Ballmann, M

Reference 22

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Observation 249c4de0-5c68-4af8-aaad-816d58b44120 · outbound

This paper cites Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature.

Isoperimetric problems and lower bounds on curvature Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci curvature

Reference 23

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Observation d5ba28e0-7a9b-43fe-8086-04a03e4044fd · outbound

This paper cites Stability of hypersurfaces with constant mean curvature.

Isoperimetric problems and lower bounds on curvature Stability of hypersurfaces with constant mean curvature

Reference 24

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Observation d6d449cd-27ae-440b-a635-4314d20d0b8a · outbound

This paper cites Stability of hypersurfaces of con- stant mean curvature in Riemannian manifolds.

Isoperimetric problems and lower bounds on curvature Stability of hypersurfaces of con- stant mean curvature in Riemannian manifolds

Reference 25

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Observation 5aceb8c6-813e-47fe-bfde-68fdcc8b3d2e · outbound

This paper cites Sur le volume minimal de R2.

Isoperimetric problems and lower bounds on curvature Sur le volume minimal de R2

Reference 26

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Observation a79fdd4f-7c0b-4949-b6d8-ccad1daf14f4 · outbound

This paper cites A differential inequality for the isoperimetric profile.

Isoperimetric problems and lower bounds on curvature A differential inequality for the isoperimetric profile

Reference 27

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This paper cites Extensions of Schoen-Simon-Yau and Schoen-Simon theorems via iteration ` a la De Giorgi.

Isoperimetric problems and lower bounds on curvature Extensions of Schoen-Simon-Yau and Schoen-Simon theorems via iteration ` a la De Giorgi

Reference 28

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Observation d62f53d0-0c86-4f1a-b132-156413f6922b · outbound

This paper cites Minimal cones and the Bernstein prob- lem.

Isoperimetric problems and lower bounds on curvature Minimal cones and the Bernstein prob- lem

Reference 29

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Isoperimetric problems and lower bounds on curvature Unresolved cited work

Reference 30

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This paper cites The isoperimetric inequality for a minimal submanifold in Euclidean space.

Isoperimetric problems and lower bounds on curvature The isoperimetric inequality for a minimal submanifold in Euclidean space

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Observation 9846f508-f946-4da5-b3e9-a0f8ed0d65ab · outbound

This paper cites Sobolev inequalities in manifolds with nonnegative curvature.

Isoperimetric problems and lower bounds on curvature Sobolev inequalities in manifolds with nonnegative curvature

Reference 32

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This paper cites Constancy of the dimension in codimension one and locality of the unit normal on RCD( K, N) spaces.

Isoperimetric problems and lower bounds on curvature Constancy of the dimension in codimension one and locality of the unit normal on RCD( K, N) spaces

Reference 33

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This paper cites Rectifiability of the reduced boundary for sets of finite perimeter over RCD( K, N) spaces.

Isoperimetric problems and lower bounds on curvature Rectifiability of the reduced boundary for sets of finite perimeter over RCD( K, N) spaces

Reference 34

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This paper cites Burago, Y.

Isoperimetric problems and lower bounds on curvature Burago, Y

Reference 35

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Observation 5c0e32c5-62ee-430e-8b5e-a297771e477c · outbound

This paper cites An elementary regularity theory of minimal sur- faces.

Isoperimetric problems and lower bounds on curvature An elementary regularity theory of minimal sur- faces

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Isoperimetric problems and lower bounds on curvature Stable complete minimal surfaces in R3 are planes

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This paper cites Two rigidity results for stable minimal hypersurfaces.

Isoperimetric problems and lower bounds on curvature Two rigidity results for stable minimal hypersurfaces

Reference 38

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This paper cites Isoperimetric inequality in noncompact MCP spaces.

Isoperimetric problems and lower bounds on curvature Isoperimetric inequality in noncompact MCP spaces

Reference 39

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This paper cites doi: 10.1007/s00526-022-02193-9.

Isoperimetric problems and lower bounds on curvature doi: 10.1007/s00526-022-02193-9

Reference 40

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This paper cites The globalization theorem for the curvature-dimension condition.

Isoperimetric problems and lower bounds on curvature The globalization theorem for the curvature-dimension condition

Reference 41

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This paper cites Sharp and rigid isoperimetric inequalities in metric- measure spaces with lower Ricci curvature bounds.

Isoperimetric problems and lower bounds on curvature Sharp and rigid isoperimetric inequalities in metric- measure spaces with lower Ricci curvature bounds

Reference 42

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This paper cites New formulas for the Laplacian of distance functions and applications.

Isoperimetric problems and lower bounds on curvature New formulas for the Laplacian of distance functions and applications

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This paper cites Differentiability of Lipschitz Functions on Metric Measure Spaces.

Isoperimetric problems and lower bounds on curvature Differentiability of Lipschitz Functions on Metric Measure Spaces

Reference 44

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This paper cites Rigidities of Isoperimetric inequality under nonnegative Ricci curvature.

Isoperimetric problems and lower bounds on curvature Rigidities of Isoperimetric inequality under nonnegative Ricci curvature

Reference 45

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Observation 9af9c3f8-d82f-4b48-89f8-c9d41a0b758a · outbound

This paper cites On the structure of spaces with Ricci curvature bounded below. I.

Isoperimetric problems and lower bounds on curvature On the structure of spaces with Ricci curvature bounded below. I

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This paper cites Stable anisotropic minimal hypersurfaces in R4.

Isoperimetric problems and lower bounds on curvature Stable anisotropic minimal hypersurfaces in R4

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Isoperimetric problems and lower bounds on curvature Stable minimal hypersurfaces in R4

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Isoperimetric problems and lower bounds on curvature Stable minimal hypersurfaces in R5

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Observation 4d9c5ca7-789e-4c60-a258-a682b9eb86fb · outbound

This paper cites Lower bounds on Ricci curvature and the almost rigidity of warped products.

Isoperimetric problems and lower bounds on curvature Lower bounds on Ricci curvature and the almost rigidity of warped products

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This paper cites Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications.

Isoperimetric problems and lower bounds on curvature Characterization of tangent cones of noncollapsed limits with lower Ricci bounds and applications

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This paper cites Volumes of small balls on open manifolds: lower bounds and examples.

Isoperimetric problems and lower bounds on curvature Volumes of small balls on open manifolds: lower bounds and examples

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Isoperimetric problems and lower bounds on curvature Unresolved cited work

Reference 53

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Observation 095e5beb-83ad-41f1-9ac9-df33f03f616d · outbound

This paper cites The structure of complete stable minimal sur- faces in 3-manifolds of nonnegative scalar curvature.

Isoperimetric problems and lower bounds on curvature The structure of complete stable minimal sur- faces in 3-manifolds of nonnegative scalar curvature

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Isoperimetric problems and lower bounds on curvature Ricci curvature and volume convergence

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This paper cites In´ egalit´ es isop´ erim´ etriques et analytiques sur les vari´ et´ es riemanniennes.

Isoperimetric problems and lower bounds on curvature In´ egalit´ es isop´ erim´ etriques et analytiques sur les vari´ et´ es riemanniennes

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This paper cites On the differential structure of metric measure spaces and applications.

Isoperimetric problems and lower bounds on curvature On the differential structure of metric measure spaces and applications

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Isoperimetric problems and lower bounds on curvature De Giorgi and Gromov working together

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This paper cites Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows.

Isoperimetric problems and lower bounds on curvature Convergence of pointed non-compact metric measure spaces and stability of Ricci curvature bounds and heat flows

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This paper cites Minimising hulls, p-capacity and isoperimetric in- equality on complete Riemannian manifolds.

Isoperimetric problems and lower bounds on curvature Minimising hulls, p-capacity and isoperimetric in- equality on complete Riemannian manifolds

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This paper cites A note about the strong maximum principle on RCD spaces.

Isoperimetric problems and lower bounds on curvature A note about the strong maximum principle on RCD spaces

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This paper cites Groups of polynomial growth and expanding maps.

Isoperimetric problems and lower bounds on curvature Groups of polynomial growth and expanding maps

Reference 62

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Isoperimetric problems and lower bounds on curvature Needle decompositions in Riemannian geometry

Reference 63

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Isoperimetric problems and lower bounds on curvature Isoperimetric inequalities in un- bounded convex bodies

Reference 64

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This paper cites On the notion of Laplacian bounds on RCD spaces and applications.

Isoperimetric problems and lower bounds on curvature On the notion of Laplacian bounds on RCD spaces and applications

Reference 65

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Reference 66

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This paper cites Stable minimal hypersurfaces in $\mathbb R^6$.

Isoperimetric problems and lower bounds on curvature Stable minimal hypersurfaces in $\mathbb R^6$

Reference 67

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Isoperimetric problems and lower bounds on curvature A convexity principle for interacting gases

Reference 68

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Isoperimetric problems and lower bounds on curvature Sobolev and mean-value inequalities on generalized submanifolds of Rn

Reference 69

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Isoperimetric problems and lower bounds on curvature Ricci curvature for metric-measure spaces via optimal trans- port

Reference 70

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Reference 71

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Isoperimetric problems and lower bounds on curvature Functions of bounded variation on “good

Reference 72

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This paper cites Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions.

Isoperimetric problems and lower bounds on curvature Existence of isoperimetric regions in non-compact Riemannian manifolds under Ricci or scalar curvature conditions

Reference 73

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Isoperimetric problems and lower bounds on curvature Weak Laplacian bounds and minimal boundaries in non-smooth spaces with Ricci curvature lower bounds

Reference 74

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This paper cites Sharp isoperimetric inequalities and model spaces for the curvature- dimension-diameter condition.

Isoperimetric problems and lower bounds on curvature Sharp isoperimetric inequalities and model spaces for the curvature- dimension-diameter condition

Reference 75

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Isoperimetric problems and lower bounds on curvature Generalized existence of isoperimetric regions in non-compact Rie- mannian manifolds and applications to the isoperimetric profile

Reference 76

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Isoperimetric problems and lower bounds on curvature An optimal Poincar´ e inequality for convex domains

Reference 77

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Isoperimetric problems and lower bounds on curvature A complete Riemannian manifold of positive Ricci curvature with Euclidean volume growth and nonunique asymptotic cone

Reference 78

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Isoperimetric problems and lower bounds on curvature Harmonic functions on Alexandrov spaces and their applications

Reference 79

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Isoperimetric problems and lower bounds on curvature On the stability of minimal surfaces

Reference 80

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Isoperimetric problems and lower bounds on curvature Local H¨ older continuity of the isoperimetric profile in complete noncompact Riemannian manifolds with bounded geometry

Reference 81

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This paper cites Examples of constant mean curvature surfaces obtained from harmonic maps to the two sphere.

Isoperimetric problems and lower bounds on curvature Examples of constant mean curvature surfaces obtained from harmonic maps to the two sphere

Reference 82

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This paper cites The isoperimetric problem in complete surfaces of nonnegative curva- ture.

Isoperimetric problems and lower bounds on curvature The isoperimetric problem in complete surfaces of nonnegative curva- ture

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Isoperimetric problems and lower bounds on curvature Ritor´ e

Reference 84

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Isoperimetric problems and lower bounds on curvature Existence and characterization of regions minimizing perimeter under a volume constraint inside Euclidean cones

Reference 85

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Isoperimetric problems and lower bounds on curvature The isoperimetric problem

Reference 86

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Isoperimetric problems and lower bounds on curvature Isoperimetry on manifolds with Ricci bounded below: overview of recent results and methods

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This paper cites On the geometry of metric measure spaces. I.

Isoperimetric problems and lower bounds on curvature On the geometry of metric measure spaces. I

Reference 88

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Isoperimetric problems and lower bounds on curvature On the geometry of metric measure spaces. II

Reference 89

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Isoperimetric problems and lower bounds on curvature Some estimates on stable minimal hypersurfaces in Euclidean space

Reference 90

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Isoperimetric problems and lower bounds on curvature Controlling area blow-up in minimal or bounded mean curvature vari- eties

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This paper cites On the geometry at infinity of manifolds with linear volume growth and nonnegative Ricci curvature.

Isoperimetric problems and lower bounds on curvature On the geometry at infinity of manifolds with linear volume growth and nonnegative Ricci curvature

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This paper cites Curvature estimates for minimal hypersur- faces.

Isoperimetric problems and lower bounds on curvature Curvature estimates for minimal hypersur- faces

Reference 93

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Isoperimetric problems and lower bounds on curvature doi: 10.1007/BF01161634

Reference 138

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This paper cites doi: 10.1090/tran/9261.

Isoperimetric problems and lower bounds on curvature doi: 10.1090/tran/9261

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This paper cites doi: 10.4171/JEMS/526.

Isoperimetric problems and lower bounds on curvature doi: 10.4171/JEMS/526

Reference 1078

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This paper cites doi: 10.1215/00127094-2681605.

Isoperimetric problems and lower bounds on curvature doi: 10.1215/00127094-2681605

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