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arXiv:1812.00710 [math.DG]AbstractReferencesReviewsResources

Mean Curvature Flow of Compact Spacelike Submanifolds in Higher Codimension

Brendan Guilfoyle, Wilhelm Klingenberg

Published 2018-12-03Version 1

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.

Comments: 19 pages LaTEX, to appear in Trans. Amer. Math. Soc. Essentially this is Section 3 of the Proof of the Caratheodory Conjecture by the same authors, which is posted at arXiv: arXiv:0808.0851
Categories: math.DG, math.AP
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