Uniqueness of convex ancient solutions to hypersurface flows-Reference-Cited by-同舟云学术

Uniqueness of convex ancient solutions to hypersurface flows

Published:2022-05-25 Issue:788 Volume:2022 Page:189-217
ISSN:0075-4102
Container-title:Journal für die reine und angewandte Mathematik (Crelles Journal)
language:en
Short-container-title:

Author:

Lynch Stephen¹

Affiliation:

1. Fachbereich Mathematik , Eberhard Karls Universität Tübingen , Auf der Morgenstelle 10, 72076 Tübingen , Germany

Abstract

Abstract We show that every convex ancient solution of mean curvature flow with Type I curvature growth is either spherical, cylindrical, or planar. We then prove the corresponding statement for flows by a natural class of curvature functions which are convex or concave in the second fundamental form. Neither of these results assumes interior noncollapsing.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/crelle-2022-0022/pdf

Reference58 articles.

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