Eigenvalue estimates on shrinkers

2024/02/19 by Brendle, S., Tsiamis, R.
#Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.2402.11803

Abstract

We prove an eigenvalue estimate which holds on every properly embedded self-similar shrinker for mean curvature flow. This generalizes earlier work of Ding and Xin to the noncompact case.

Related

• Complete self-shrinkers of the mean curvature flow
• Classification and rigidity of self-shrinkers in the Mean curvature flow
• Classification and Analysis of Mean Curvature Flow Self-Shrinkers
• An eigenvalue estimate for self-shrinkers in a Ricci shirinker
• Smooth compactness of self-shrinkers