A convergence result for Mean Curvature Flow of totally real submanifolds

TL;DR

This paper proves that under certain conditions, the mean curvature flow of totally real submanifolds converges, extending previous results for Lagrangian submanifolds and providing effective convergence criteria.

Contribution

It provides a new convergence result for the mean curvature flow of totally real submanifolds, generalizing and making quantitative a prior result for Lagrangian cases.

Findings

Convergence of mean curvature flow for almost minimal totally real submanifolds.

Extension of Li's result to a broader class of submanifolds.

Effective criteria for convergence in the mean curvature flow.

Abstract

We establish a convergence result for the mean curvature flow starting from a totally real submanifold which is "almost minimal" in a precise, quantitative sense. This extends, and makes effective, a result of H. Li for the Lagrangian mean curvature flow.