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arXiv:1607.02899 [math.DG]AbstractReferencesReviewsResources

Collapse of the mean curvature flow for certain kind of invariant hypersurfaces in a Hilbert space

Naoyuki Koike

Published 2016-07-11Version 1

In this paper, we investigate the regularized mean curvature flow starting from an invariant hypersurface in a Hilbert space equipped with an isometric and almost free action of a Hilbert Lie group whose orbits are regularized minimal. We prove that, if the invariant hypersurface satisfies a certain kind of horizontally convexity condition, then it collapses to an orbit of the Hilbert Lie group action along the regularized mean curvature flow.

Comments: 47pages. arXiv admin note: text overlap with arXiv:1210.2539
Categories: math.DG
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