Some recent developments in Lagrangian mean curvature flows

Abstract

We review some recent results on the mean curvature flows of Lagrangian submanifolds from the perspective of geometric partial differential equations. These include global existence and convergence results, characterizations of first-time singularities, and constructions of self-similar solutions.

20 pages

References in corpus (5)

• Ricci flow with surgery on three-manifolds
• A convergence result of the Lagrangian mean curvature flow
• Translating solutions to Lagrangian mean curvature flow
• Singularities of Lagrangian mean curvature flow: monotone case
• Hamiltonian Stationary Shrinkers and Expanders for Lagrangian Mean Curvature Flows