A pointwise approach to rigidity of almost graphical self-shrinking solutions of mean curvature flows

Abstract

We prove rigidity of any properly immersed noncompact Lagrangian shrinker with single valued Lagrangian angle for Lagrangian mean curvature flows. Our pointwise approach also provides an ele- mentary proof to the known rigidity results for graphical and almost graphical shrinkers of mean curvature flows.

arXiv comment5 pages, Analysis of PDEs, Differential Geometry