Paper Citation Record · LEDGER

Euclidean Domains with Nearly Maximal Yamabe Quotient

As of 11 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 0 inbound Pith citation observations for arXiv:2501.12347.

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pith.paper-citation-record.v1
2501.12347 v1

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measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T17:31:14.647413Z

measured 44 of 44 standing notices

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Reference resolution

44 of 44 outbound references displayed

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Outbound references

Observation 2282c71c-84b9-4036-ad1c-18af270ac3a1 · outbound

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

Euclidean Domains with Nearly Maximal Yamabe Quotient Sharp geometric inequalities for closed hypersurfaces in manifolds with nonnegative ricci curvature

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.365510Z

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Observation f37463cf-47b1-4443-98d5-f6a0f6943e87 · outbound

This paper cites Riemannian Penrose inequality via Nonlinear Potential Theory.

Euclidean Domains with Nearly Maximal Yamabe Quotient Riemannian Penrose inequality via Nonlinear Potential Theory

Reference 2

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.489728Z

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Observation 1cd71156-91dd-4746-a2a8-2c27d1217176 · outbound

This paper cites Monotonicity formulas in potential theory.

Euclidean Domains with Nearly Maximal Yamabe Quotient Monotonicity formulas in potential theory

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.354244Z

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Observation dc83cfa3-d6f7-4b4b-89ac-70cc20038cf5 · outbound

This paper cites A green’s function proof of the positive mass theorem.

Euclidean Domains with Nearly Maximal Yamabe Quotient A green’s function proof of the positive mass theorem

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.342761Z

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Observation ec706db6-1b55-4cd9-bb8e-e9a76615fdf1 · outbound

This paper cites On the Stability of Llarull's Theorem in Dimension Three.

Euclidean Domains with Nearly Maximal Yamabe Quotient On the Stability of Llarull's Theorem in Dimension Three

Reference 5

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:15.015792Z

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Observation 1881edaf-3562-4860-9113-d059d84f113d · outbound

This paper cites ´Equations diff´ erentielles non lin´ eaires et probleme de yamabe concernant la courbure scalaire.J.

Euclidean Domains with Nearly Maximal Yamabe Quotient ´Equations diff´ erentielles non lin´ eaires et probleme de yamabe concernant la courbure scalaire.J

Reference 6

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.330836Z

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Observation c5a103e7-d21c-4692-ad6c-e9f8c2599d0f · outbound

This paper cites Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature.

Euclidean Domains with Nearly Maximal Yamabe Quotient Minkowski Inequality on complete Riemannian manifolds with nonnegative Ricci curvature

Reference 7

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:14.998932Z

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Observation c94dced5-e70c-41b4-aea5-aaa904268d1d · outbound

This paper cites A transformation for extracting new descriptions of shape.

Euclidean Domains with Nearly Maximal Yamabe Quotient A transformation for extracting new descriptions of shape

Reference 8

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.319572Z

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Observation 936f15be-bf1b-463a-b903-70b10f38ae57 · outbound

This paper cites Harmonic functions and the mass of 3-dimensional asymptotically flat riemannian manifolds.

Euclidean Domains with Nearly Maximal Yamabe Quotient Harmonic functions and the mass of 3-dimensional asymptotically flat riemannian manifolds

Reference 9

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.309561Z

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Observation eb0664a2-726a-4b30-9971-32f6e5c9beaf · outbound

This paper cites Monotonicity of the p-green functions.

Euclidean Domains with Nearly Maximal Yamabe Quotient Monotonicity of the p-green functions

Reference 10

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.299952Z

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Observation f82bb07e-9879-4421-a91e-f85220a971f1 · outbound

This paper cites Problemes de neumann non lin´ eaires sur les vari´ et´ es riemanniennes.Journal of Functional Analysis, 57(2):154–206, 1984.

Euclidean Domains with Nearly Maximal Yamabe Quotient Problemes de neumann non lin´ eaires sur les vari´ et´ es riemanniennes.Journal of Functional Analysis, 57(2):154–206, 1984

Reference 11

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.290411Z

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Observation b7358892-2441-467a-8668-4bbe1d084e41 · outbound

This paper cites New monotonicity formulas for ricci curvature and applications.

Euclidean Domains with Nearly Maximal Yamabe Quotient New monotonicity formulas for ricci curvature and applications

Reference 12

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.279384Z

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Observation 1b05fdb2-5250-47f1-b6a8-ba3b6e6de384 · outbound

This paper cites Ricci curvature and monotonicity for harmonic functions.

Euclidean Domains with Nearly Maximal Yamabe Quotient Ricci curvature and monotonicity for harmonic functions

Reference 13

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.269133Z

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Observation e8c3e902-8ae0-4010-af74-09276186767f · outbound

This paper cites Singularities of ricci flow and diffeomorphisms.

Euclidean Domains with Nearly Maximal Yamabe Quotient Singularities of ricci flow and diffeomorphisms

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.539075Z

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Observation 5b1f7a39-c813-43a0-908c-4a0f11159ec8 · outbound

This paper cites Optimal rigidity estimates for nearly umbilical surfaces.Journal of Differential Geometry, 69(1):075–110, 2005.

Euclidean Domains with Nearly Maximal Yamabe Quotient Optimal rigidity estimates for nearly umbilical surfaces.Journal of Differential Geometry, 69(1):075–110, 2005

Reference 15

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.258226Z

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Observation e83bfa3e-3728-49ed-8ab8-e0b2b6714f9a · outbound

This paper cites Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds.

Euclidean Domains with Nearly Maximal Yamabe Quotient Some stability results of positive mass theorem for uniformly asymptotically flat 3-manifolds

Reference 16

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.246095Z

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Observation 810295dc-e614-4e5b-8da5-1dc26bcf68fb · outbound

This paper cites Stability for the 3d riemannian penrose inequality.

Euclidean Domains with Nearly Maximal Yamabe Quotient Stability for the 3d riemannian penrose inequality

Reference 17

Resolution: verified exact; raw_fallback, observed 2026-08-10T17:31:14.912571Z

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Observation 20174864-fea2-40db-a7e5-b797e55a1270 · outbound

This paper cites Stability of Euclidean 3-space for the positive mass theorem.

Euclidean Domains with Nearly Maximal Yamabe Quotient Stability of Euclidean 3-space for the positive mass theorem

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.553090Z

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Observation f8cae6a6-fe09-4031-b6d6-04fba97cf05a · outbound

This paper cites Conformal deformation of a riemannian metric to a scalar flat metric with constant mean curvature on the boundary.

Euclidean Domains with Nearly Maximal Yamabe Quotient Conformal deformation of a riemannian metric to a scalar flat metric with constant mean curvature on the boundary

Reference 19

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.233046Z

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Observation 9fb507a3-d8d5-4615-b078-c78995dec3a3 · outbound

This paper cites The yamabe problem on manifolds with boundary.Journal of Differential Geometry , 35(1):21–84, 1992.

Euclidean Domains with Nearly Maximal Yamabe Quotient The yamabe problem on manifolds with boundary.Journal of Differential Geometry , 35(1):21–84, 1992

Reference 20

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.221209Z

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Observation eda83572-5704-4b62-835e-12115c405368 · outbound

This paper cites Rings and quasiconformal mappings in space.

Euclidean Domains with Nearly Maximal Yamabe Quotient Rings and quasiconformal mappings in space

Reference 21

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.209781Z

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Observation e191fd53-e600-4093-8d86-6f6527957c7f · outbound

This paper cites The coefficients of quasiconformality of domains in space.Acta Mathematica, 114(1):1– 70, 1965.

Euclidean Domains with Nearly Maximal Yamabe Quotient The coefficients of quasiconformality of domains in space.Acta Mathematica, 114(1):1– 70, 1965

Reference 22

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.200634Z

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Observation ed19902a-4325-4cf9-b5ef-438545908751 · outbound

This paper cites Monotone quantities of p-harmonic functions and their applications.

Euclidean Domains with Nearly Maximal Yamabe Quotient Monotone quantities of p-harmonic functions and their applications

Reference 23

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.190826Z

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Observation 1ac94456-ca7f-42dc-8ba4-3a9c5bc716a7 · outbound

This paper cites Stability of llarull’s theorem in all dimensions.Advances in Mathematics, 458:109980, 2024.

Euclidean Domains with Nearly Maximal Yamabe Quotient Stability of llarull’s theorem in all dimensions.Advances in Mathematics, 458:109980, 2024

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.180162Z

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Observation 4e8937a3-118c-402c-83cb-dfb9e7885509 · outbound

This paper cites The inverse mean curvature flow and the riemannian penrose inequality.

Euclidean Domains with Nearly Maximal Yamabe Quotient The inverse mean curvature flow and the riemannian penrose inequality

Reference 25

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.169019Z

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Observation 00021bc9-a92e-414f-b540-6a1925c4ebe1 · outbound

This paper cites Unconstrained degrees of freedom for gravitational waves, $\beta$--foliations and spherically symmetric initial data.

Euclidean Domains with Nearly Maximal Yamabe Quotient Unconstrained degrees of freedom for gravitational waves, $\beta$--foliations and spherically symmetric initial data

Reference 26

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:14.775681Z

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Observation b28bf175-3fe1-4875-9468-4cb5334b6cee · outbound

This paper cites Stability of the positive mass theorem under Ricci curvature lower bounds.

Euclidean Domains with Nearly Maximal Yamabe Quotient Stability of the positive mass theorem under Ricci curvature lower bounds

Reference 27

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:14.761472Z

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Observation c6d5e43a-aa41-42e7-a16b-106bf193ccc0 · outbound

This paper cites Unconstrained degrees of freedom of gravitational field and the positivity of gravitational energy.

Euclidean Domains with Nearly Maximal Yamabe Quotient Unconstrained degrees of freedom of gravitational field and the positivity of gravitational energy

Reference 28

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.157917Z

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Observation 67ff993e-b85d-449f-aeb1-e75f6d5808a7 · outbound

This paper cites Any open bounded subset of Rn has the same homotopy type as its medial axis.

Euclidean Domains with Nearly Maximal Yamabe Quotient Any open bounded subset of Rn has the same homotopy type as its medial axis

Reference 29

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.146138Z

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Observation 80f9ad4c-6065-4708-9e33-09e882cb7c2c · outbound

This paper cites Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality.

Euclidean Domains with Nearly Maximal Yamabe Quotient Monotone Quantities for $p$-Harmonic functions and the Sharp $p$-Penrose inequality

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.592332Z

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Observation 08afdef3-37d2-4d5d-97db-47823a2da1e5 · outbound

This paper cites The Yamabe Invariant of $\mathbb{RP}^3$ via Harmonic Functions.

Euclidean Domains with Nearly Maximal Yamabe Quotient The Yamabe Invariant of $\mathbb{RP}^3$ via Harmonic Functions

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.596292Z

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Observation 4d21abae-6026-4971-9fa3-31c015bcf118 · outbound

This paper cites Mass, Conformal Capacity, and the Volumetric Penrose Inequality.

Euclidean Domains with Nearly Maximal Yamabe Quotient Mass, Conformal Capacity, and the Volumetric Penrose Inequality

Reference 32

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:14.723884Z

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Observation 4e07e1df-fad2-45d5-8f44-f12d67a98ca3 · outbound

This paper cites On the stability of the Yamabe invariant of $S^3$.

Euclidean Domains with Nearly Maximal Yamabe Quotient On the stability of the Yamabe invariant of $S^3$

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.604236Z

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Observation dfcd1b03-741e-4344-a76c-a01f1e7b6491 · outbound

This paper cites Mass, capacitary functions, and the mass-to-capacity ratio.

Euclidean Domains with Nearly Maximal Yamabe Quotient Mass, capacitary functions, and the mass-to-capacity ratio

Reference 34

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.133306Z

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Observation a530e5df-2d8f-4db1-8f63-7e9297f92bee · outbound

This paper cites Comparison theorems for three-dimensional manifolds with scalar curvature bound.

Euclidean Domains with Nearly Maximal Yamabe Quotient Comparison theorems for three-dimensional manifolds with scalar curvature bound

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T17:31:14.611907Z

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Observation 9f4f9304-1e3e-4602-b973-9c7a64eda7bb · outbound

This paper cites ADM mass, area and capacity in asymptotically flat $3$-manifolds with nonnegative scalar curvature.

Euclidean Domains with Nearly Maximal Yamabe Quotient ADM mass, area and capacity in asymptotically flat $3$-manifolds with nonnegative scalar curvature

Reference 36

Resolution: verified exact; local_arxiv, observed 2026-08-10T17:31:14.684162Z

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No event found in the named queried sources as of 2026-08-11T06:34:44.6726+00:00.

Observation 7ba7aa03-5090-489f-9452-060562661a46 · outbound

This paper cites Conformal deformation of a riemannian metric to constant scalar curvature.Journal of Differential Geometry, 20(2):479–495, 1984.

Euclidean Domains with Nearly Maximal Yamabe Quotient Conformal deformation of a riemannian metric to constant scalar curvature.Journal of Differential Geometry, 20(2):479–495, 1984

Reference 37

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.121748Z

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Observation ead4c7ce-a979-4eaa-b1e8-367c6f4f1c69 · outbound

This paper cites On the proof of the positive mass conjecture in general relativity.

Euclidean Domains with Nearly Maximal Yamabe Quotient On the proof of the positive mass conjecture in general relativity

Reference 38

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.109729Z

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Observation 3ebc870b-7448-4134-9c58-c795178a73fe · outbound

This paper cites Monotonicity of the yamabe invariant under connect sum over the boundary.

Euclidean Domains with Nearly Maximal Yamabe Quotient Monotonicity of the yamabe invariant under connect sum over the boundary

Reference 39

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.097641Z

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Observation 4487697f-2ab0-4336-8a06-e9c3ba8ae951 · outbound

This paper cites Scalar curvature and harmonic maps to s1.

Euclidean Domains with Nearly Maximal Yamabe Quotient Scalar curvature and harmonic maps to s1

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.086673Z

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Observation 8ab9f53e-b300-414b-8ac6-a9b4a1d53534 · outbound

This paper cites Remarks concerning the conformal deformation of riemannian structures on compact manifolds.

Euclidean Domains with Nearly Maximal Yamabe Quotient Remarks concerning the conformal deformation of riemannian structures on compact manifolds

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.075257Z

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Observation 4591ba4b-3ce5-4049-a5d3-35051d17fbeb · outbound

This paper cites A new proof of the positive energy theorem.

Euclidean Domains with Nearly Maximal Yamabe Quotient A new proof of the positive energy theorem

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.062072Z

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Observation e9526afb-de05-4b9a-b32e-adc208135214 · outbound

This paper cites New monotonicity for p-capacitary functions in 3-manifolds with non- negative scalar curvature.

Euclidean Domains with Nearly Maximal Yamabe Quotient New monotonicity for p-capacitary functions in 3-manifolds with non- negative scalar curvature

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.050422Z

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Observation 90d4ae11-9143-4a19-b54b-5dd3a2c6292f · outbound

This paper cites On a deformation of riemannian structures on compact manifolds.

Euclidean Domains with Nearly Maximal Yamabe Quotient On a deformation of riemannian structures on compact manifolds

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T17:31:15.038122Z

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