Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds

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.

References in corpus (2)

• On The Capacity of Surfaces in Manifolds with Nonnegative Scalar Curvature
• Geometric inequalities involving three quantities in warped product manifolds