Sharp entropy bounds for self-shrinkers in mean curvature flow

Or Hershkovits; Brian White

doi:10.2140/gt.2019.23.1611

Sharp entropy bounds for self-shrinkers in mean curvature flow

Research output: Contribution to journal › Article › peer-review

Abstract

Let M Ì Rm+1 be a smooth, closed, codimension-one self-shrinker (for mean curvature flow) with nontrivial k^th homology. We show that the entropy of M is greater than or equal to the entropy of a round k -sphere, and that if equality holds, then M is a round k-sphere in R^k+1.

Original language	English
Pages (from-to)	1611-1619
Number of pages	9
Journal	Geometry and Topology
Volume	23
Issue number	3
DOIs	https://doi.org/10.2140/gt.2019.23.1611
State	Published - 2019
Externally published	Yes

All Science Journal Classification (ASJC) codes

Geometry and Topology

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10.2140/gt.2019.23.1611

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title = "Sharp entropy bounds for self-shrinkers in mean curvature flow",

abstract = "Let M {\`I} Rm+1 be a smooth, closed, codimension-one self-shrinker (for mean curvature flow) with nontrivial kth homology. We show that the entropy of M is greater than or equal to the entropy of a round k -sphere, and that if equality holds, then M is a round k-sphere in Rk+1.",

author = "Or Hershkovits and Brian White",

year = "2019",

doi = "10.2140/gt.2019.23.1611",

language = "الإنجليزيّة",

volume = "23",

pages = "1611--1619",

journal = "Geometry and Topology",

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AU - Hershkovits, Or

AU - White, Brian

PY - 2019

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AB - Let M Ì Rm+1 be a smooth, closed, codimension-one self-shrinker (for mean curvature flow) with nontrivial kth homology. We show that the entropy of M is greater than or equal to the entropy of a round k -sphere, and that if equality holds, then M is a round k-sphere in Rk+1.

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U2 - 10.2140/gt.2019.23.1611

DO - 10.2140/gt.2019.23.1611

M3 - مقالة

SN - 1465-3060

VL - 23

SP - 1611

EP - 1619

JO - Geometry and Topology

JF - Geometry and Topology

IS - 3

ER -

Sharp entropy bounds for self-shrinkers in mean curvature flow

Abstract

All Science Journal Classification (ASJC) codes

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