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arXiv · 0807.1579

A splitting theorem for equifocal submanifolds with non-flat section

Naoyuki Koike
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Abstract

In this paper, I prove a splitting theorem for equifocal submanifolds with non-flat section in a simply connected symmetric space of compact type. Also, by using the splitting theorem, I prove that the sections of equifocal submanifolds with non-flat section in an irreducible simply connected symmetric space of compact type are isometric to a sphere or a real projective space.

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Naoyuki Koike. 2010-02-14. A splitting theorem for equifocal submanifolds with non-flat section. https://arxiv.org/abs/0807.1579

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