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Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension

Guilfoyle, B.; Klingenberg, K.

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Authors

B. Guilfoyle



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 Mar 28, 2024
Journal Transactions of the American Mathematical Society
Print ISSN 0002-9947
Electronic ISSN 0002-9947
Publisher American Mathematical Society
Peer Reviewed Peer Reviewed
Volume 372
Issue 9
Pages 6263-6281
DOI https://doi.org/10.1090/tran/7766

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Accepted Journal Article (320 Kb)
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Copyright Statement
© 2019 American Mathematical Society. First published in 1 February 2019 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, published by the American Mathematical Society.





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