Uniqueness of conical singularities for mean curvature flows

In this paper, we prove the uniqueness of asymptotically conical tangent flows in all codimensions. This is based on an early work of Chodosh-Schulze, who proved the uniqueness in the hypersurface case.

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Bibliographic Details
Published in:Journal of functional analysis 2024-01, Vol.286 (1), p.110200, Article 110200
Main Authors: Lee, Tang-Kai, Zhao, Xinrui
Format: Article
Language:English
Subjects:
Asymptotically conical shrinkers
Mean curvature flow
Uniqueness of tangent flows
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Description
Summary:In this paper, we prove the uniqueness of asymptotically conical tangent flows in all codimensions. This is based on an early work of Chodosh-Schulze, who proved the uniqueness in the hypersurface case.
ISSN:0022-1236
1096-0783
DOI:10.1016/j.jfa.2023.110200