Type II Singularities of Lagrangian Mean Curvature Flow with Zero Maslov Class

Abstract

In this paper, we will prove some rigidity theorems for blow up limits to Type II singularities of Lagrangian mean curvature flow with zero Maslov class or almost calibrated Lagrangian mean curvature flows, especially for Lagrangian translating solitons in any dimension. These theorems generalized previous corresponding results from two dimensional case to arbitrarily dimensional case.

Revised version, 16 pages. Accepted by JFA