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arXiv · 2410.22904

Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds

Dasong Li·John Man Shun Ma
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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.

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Dasong Li, John Man Shun Ma. 2024-10-30. Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds. https://doi.org/10.1007/s00526-025-03078-3

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