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	A note on the entropy of mean curvature flow
	Bao Chao
	2015
关键词	entropy self-shrinker mean curvature flow sphere REGULARITY THEOREM HARMONIC MAPS SMALL ENERGY SINGULARITIES
英文摘要	The entropy of a hypersurface is given by the supremum over all F-functionals with varying centers and scales, and is invariant under rigid motions and dilations. As a consequence of Huisken's monotonicity formula, entropy is non-increasing under mean curvature flow. We show here that a compact mean convex hypersurface with some low entropy is diffeomorphic to a round sphere. We also prove that a smooth self-shrinker with low entropy is a hyperplane.; SCI(E); 中国科学引文数据库(CSCD); ARTICLE; chbao@126.com; 12; 2611-2620; 58
语种	英语
出处	SCI ; CSCD ; 知网
出版者	SCIENCE CHINA-MATHEMATICS
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/439203]
专题	数学科学学院
推荐引用方式 GB/T 7714	Bao Chao. A note on the entropy of mean curvature flow. 2015-01-01.

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