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March 2011 Collapse of the Mean Curvature Flow for Equifocal Submanifolds
Naoyuki Koike
Asian J. Math. 15(1): 101-128 (March 2011).

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. It is known that an equifocal submanifold of codimension greater than one in an irreducible symmetric space of compact type occurs as a principal orbit of a Hermann action. However, we investigate the flows conceptionally without use of this fact. The investigation is performed by investigating the mean curvature flows having the lifts of the submanifolds to an (infinite dimensional separable) Hilbert space through a Riemannian submersion as initial data.

Citation

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Naoyuki Koike. "Collapse of the Mean Curvature Flow for Equifocal Submanifolds." Asian J. Math. 15 (1) 101 - 128, March 2011.

Information

Published: March 2011
First available in Project Euclid: 28 May 2011

zbMATH: 1218.53071
MathSciNet: MR2786467

Subjects:
Primary: 53C35, 53C40

Rights: Copyright © 2011 International Press of Boston

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Vol.15 • No. 1 • March 2011
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