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Backward Uniqueness of Extrinsic Geometric Flow in general ambient manifolds (2410.22904v1)
Published 30 Oct 2024 in math.DG
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.