Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension

Guilfoyle, B.; Klingenberg, K.

Abstract

We prove the longtime 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.

Citation

Guilfoyle, B., & Klingenberg, K. (2019). Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension. Transactions of the American Mathematical Society, 372(9), 6263-6281. https://doi.org/10.1090/tran/7766

• Journal Article Type: Article
• Acceptance Date: Nov 29, 2018
• Online Publication Date: Feb 1, 2019
• Publication Date: Nov 30, 2019
• Deposit Date: Nov 29, 2018
• Publicly Available Date: Feb 1, 2019
• Journal: Transactions of the American Mathematical Society
• Print ISSN: 0002-9947
• Electronic ISSN: 1088-6850
• Publisher: American Mathematical Society
• Peer Reviewed: Peer Reviewed
• Volume: 372
• Issue: 9
• Pages: 6263-6281
• DOI: https://doi.org/10.1090/tran/7766
• Public URL: https://durham-repository.worktribe.com/output/1308255