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Mean curvature flow of compact spacelike submanifolds in higher codimension.

Guilfoyle, B. and Klingenberg, W. (2019) 'Mean curvature flow of compact spacelike submanifolds in higher codimension.', Transactions of the American Mathematical Society., 372 (9). pp. 6263-6281.

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.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:https://doi.org/10.1090/tran/7766
Publisher 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.
Date accepted:29 November 2018
Date deposited:30 November 2018
Date of first online publication:01 February 2019
Date first made open access:01 February 2019

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