A convergence result for Mean Curvature Flow of totally real submanifolds

2024/05/17 by Tristan C. Collins, Collins, Tristan C., Adam Jacob +3
Mathematics · #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Mathematical Dynamics and Fractals

paper · pdf · doi:10.48550/arxiv.2405.11049

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.

Related

• Mean curvature flow in submanifolds
• The extension and convergence of mean curvature flow in higher codimension
• Mean curvature flow in higher codimension
• The mean curvature flow of submanifolds of high codimension
• Mean Curvature Flows of Lagrangian Submanifolds with Convex Potentials