A splitting theorem for equifocal submanifolds with non-flat section
Differential Geometry
2010-02-14 v3
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.
Cite
@article{arxiv.0807.1579,
title = {A splitting theorem for equifocal submanifolds with non-flat section},
author = {Naoyuki Koike},
journal= {arXiv preprint arXiv:0807.1579},
year = {2010}
}
Comments
19pages