The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow

Abstract

We provide several rigidity results for the Clifford torus in the class of compact self-shrinkers for Lagrangian mean curvature flow.

10 pages

References in corpus (3)

• Recent Progress on Singularities of Lagrangian Mean Curvature Flow
• The rigidity theorems of self shrinkers
• Complete self-shrinkers of the mean curvature flow

Cited by in corpus (2)

• On the rigidity theorems for Lagrangian translating solitons in pseudo-Euclidean space II
• Closed Lagrangian self-shrinkers in ${\mathbb{R}}^4$ symmetric with respect to a hyperplane