Minimal surfaces and mean curvature flow

Abstract

We discuss recent results on minimal surfaces and mean curvature flow, focusing on the classification and structure of embedded minimal surfaces and the stable singularities of mean curvature flow. This article is dedicated to Rick Schoen.

References in corpus (6)

• Finite extinction time for the solutions to the Ricci flow on certain three-manifolds
• Gaussian densities and stability for some Ricci solitons
• Evolution of curves and surfaces by mean curvature
• Density theorems for complete minimal surfaces in R^3
• Least Area Planes in Hyperbolic 3-Space are Properly Embedded
• Symmetry of Embedded Genus-One Helicoids

Cited by in corpus (4)

• Mean curvature, threshold dynamics, and phase field theory on finite graphs
• A general regularity theory for weak mean curvature flow
• Estimates for eigenvalues of $\mathfrak{L}$ operator on Self-Shrinkers
• The H-flow translating solitons in R^3 and R^4