Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension

Authors

Brendan Guilfoyle, School of Science, Technology, Engineering and Mathematics, Institute of Technology, Tralee, Clash, Tralee, Co. Kerry, Ireland.Follow
Wilhelm Klingenberg, Department of Mathematical Sciences, University of Durham, Durham DH1 3LE, United Kingdom.

Document Type

Article

Creative Commons License

This work is licensed under a Creative Commons Attribution-Noncommercial-No Derivative Works 3.0 License.

Disciplines

Applied Mathematics | Engineering | Physical Sciences and Mathematics

Publication Details

Transactions of the American Mathematical Society

© Copyright 2019 American Mathematical Society

Abstract

We prove long-time existence for mean curvature flow of a smooth n-dimensional spacelike submanifold of an n + m dimensional manifold whose metric satisfies the timelike curvature condition.

Recommended Citation

Guilfoyle, Brendan & Klingenberg, Wilhelm. (2019). Mean curvature flow of compact spacelike submanifolds in higher codimension. Transactions of the American Mathematical Society. 372. 1. 10.1090/tran/7766.