Entropy in a Closed Manifold and Partial Regularity of Mean Curvature Flow Limit of Surfaces

Abstract Inspired by the idea of Colding and Minicozzi (Ann Math 182:755–833, 2015), we define (mean curvature flow) entropy for submanifolds in a general ambient Riemannian manifold. In particular, this entropy is equivalent to area growth of a closed submanifold in a closed ambient...

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Bibliographic Details
Main Author: Sun, Ao
Other Authors: Massachusetts Institute of Technology. Department of Mathematics
Format: Article
Language:English
Published: Springer US 2021
Online Access:https://hdl.handle.net/1721.1/136747