Note on the backwards uniqueness of mean curvature flow

TL;DR

This paper proves a backwards uniqueness theorem for mean curvature flow with bounded second fundamental form in any codimension, contributing to the understanding of the flow's uniqueness properties.

Contribution

It establishes a backwards uniqueness result for mean curvature flow in arbitrary codimension with bounded second fundamental form, extending previous results.

Findings

Backward uniqueness holds for mean curvature flow with bounded second fundamental form.

The result applies to arbitrary codimension.

The theorem enhances understanding of flow's uniqueness properties.

Abstract

In this note, we will show a backwards uniqueness theorem of the mean curvature flow with bounded second fundamental form in arbitrary codimension.