Recent Progress on Singularities of Lagrangian Mean Curvature Flow

Abstract

We survey some of the state of the art regarding singularities in Lagrangian mean curvature flow. Some open problems are suggested at the end.

24 pages, 2 figures

References in corpus (3)

• A canonical way to deform a Lagrangian submanifold
• Mean curvature flow of monotone Lagrangian submanifolds
• A convergence result of the Lagrangian mean curvature flow

Cited by in corpus (7)

• The Clifford torus as a self-shrinker for the Lagrangian mean curvature flow
• Uniqueness results for special Lagrangians and Lagrangian mean curvature flow expanders in C^m
• On short time existence of Lagrangian mean curvature flow
• Hamiltonian stability for weighted measure and generalized Lagrangian mean curvature flow
• Lagrangian F-stability of closed Lagrangian self-shrinkers
• Minimal cones and self-expanding solutions for mean curvature flows
• Spacelike Self-Similar Shrinking Solutions of the Mean Curvature Flow in Pseudo-Euclidean Spaces