Non-existence theorem of equifocal submanifolds with non-flat section

Abstract

In this paper, we prove that there exists no equifocal submanifold with non-flat section in irreducible simply connected symmetric spaces of compact type and rank greater than one. As its application, it is shown that all polar actions on the symmetric spaces are hyperpolar.

Cite this paper

@inproceedings{Koike2009NonexistenceTO, title={Non-existence theorem of equifocal submanifolds with non-flat section}, author={Naoyuki Koike}, year={2009} }