The second type singularity of symplectic and Lagrangian mean curvature flows

Abstract

In this paper we mainly study the type II singularities of the mean curvature flow from a symplectic surface or from an almost calibrated Lagrangian surface in a K ähler-Einstein surface. We show the relation between the maximum of the Kähler angle and the maximum of $|H{|}^2$ on the limit flow.