New special Lagrangian submanifolds are constructed near the origin in C^{n+1} with isolated singularities, cylindrical tangent cones C times R, and connectivity of Y minus the origin that differs from the cone.
Singularity formations in lagrangian mean curvature flow
2 Pith papers cite this work. Polarity classification is still indexing.
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Any smooth closed immersed curve in R^n with a one-to-one convex projection onto a 2-plane develops a Type I singularity and becomes asymptotically circular under curve shortening flow, enabling a perturbation result that is an analog of Huisken's conjecture.
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Special Lagrangians with Cylindrical Tangent Cones
New special Lagrangian submanifolds are constructed near the origin in C^{n+1} with isolated singularities, cylindrical tangent cones C times R, and connectivity of Y minus the origin that differs from the cone.
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Singularities of Curve Shortening Flow with Convex Projections
Any smooth closed immersed curve in R^n with a one-to-one convex projection onto a 2-plane develops a Type I singularity and becomes asymptotically circular under curve shortening flow, enabling a perturbation result that is an analog of Huisken's conjecture.