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 manifold with n...