Although research in curve shortening flow has been very active for nearly 20 years, the results of those efforts have remained scattered throughout the literature. For the first time, The Curve Shortening Problem collects and illuminates those re...
The International Consortium of Chinese Mathematicians was founded in 2016, with the purpose of promoting and advancing mathematics within the extended Chinese community, and building good relationships between Chinese mathematicians and other mat...
The curve shortening flow for convex curves; The short time existence and the evolution equation of curvatures; Contraction of convex hypersurfaces; Monotonicity and self-similar solutions; Evolution of embedded curves or surfaces (I); Evolution of embedded curves and surfaces (II); Evolution of embedded curves and surfaces (III); Convexity estimates for mean convex surfaces; Li-Yau estimates and type II singularities; The mean curvature flow in Riemannian manifolds; Contracting convex hypersurfaces in Riemannian manifolds; Definition of center of mass for isolated gravitating systems; References; Index