On proper complex equifocal submanifolds

2009/02/09 by Naoyuki Koike, Koike, Naoyuki
Mathematics · Physics and Astronomy · #53C40 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53C40

paper · pdf · doi:10.48550/arxiv.0902.1375

16pages

openalex publication_date 2009/02/09 · arxiv created 2010/12/13 · arxiv updated 2010/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Isoparametric submanifolds and a Chevalley-type restriction theorem

Related

• The classifications of certain kind of isoparametric submanifolds in non-compact symmetric spaces
• Geometric Properties of Orbits of Hermann actions
• Homogeneity of proper complex equifocal submanifolds
• Curvatures and austere property of orbits of path group actions induced by Hermann actions
• The mean curvature flow for equifocal submanifolds