We use cookies to ensure that we give you the best experience on our website. By continuing to browse this repository, you give consent for essential cookies to be used. You can read more about our Privacy and Cookie Policy.

Durham Research Online
You are in:

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.


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
Download PDF
Publisher Web site:
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

Save or Share this output

Look up in GoogleScholar