A splitting theorem for equifocal submanifolds with non-flat section

Details A splitting theorem for equifocal submanifolds with non-flat section A splitting theorem for equifocal submanifolds with non-flat section

2008-07-10

arxiv.org/abs/0807.1579v3

Mathematics

Differential Geometry

19pages

Scientific paper

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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