Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds
Differential Geometry
2026-01-08 v1
Abstract
In this paper we prove two backward uniqueness theorems for extrinsic geometric flow of possibly non-compact hypersurfaces in general ambient complete Riemannian manifolds. These are applicable to a wide range of extrinsic geometric flow, including the mean curvature flow, inverse mean curvature flow, Gauss curvature flow and so on.
Keywords
Cite
@article{arxiv.2410.22904,
title = {Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds},
author = {Dasong Li and John Man Shun Ma},
journal= {arXiv preprint arXiv:2410.22904},
year = {2026}
}