Collapse of the mean curvature flow for equifocal submanifolds

Abstract

In this paper, we investigate the mean curvature flows having an equifocal submanifold in a symmetric space of compact type and its focal submanifolds as initial data. The investigation is performed by investigating the lifts of the submanifolds and the flows to an (infinite dimensional separable) Hilbert space through a Riemannian submersion of the Hilbert space onto the symmetric space.

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Cite this paper

@inproceedings{Koike2009CollapseOT, title={Collapse of the mean curvature flow for equifocal submanifolds}, author={Naoyuki Koike}, year={2009} }