On proper complex equifocal submanifolds

Abstract

First we show that a curvature-adapted proper complex equifocal submanifold is a principal orbit of a Hermann type action under certain condition. Next we show that a proper complex equifocal submanifold is curvature-adapted under certain condition.

16pages

References in corpus (2)

• Isoparametric submanifolds and a Chevalley-type restriction theorem
• On the Geometry of the Orbits of Hermann Actions

Cited by in corpus (2)

• A Cartan type identity for isoparametric hypersurfaces in symmetric spaces
• Collapse of the mean curvature flow for isoparametric submanifolds in non-compact symmetric spaces