Homogeneity of proper complex equifocal submanifolds

2008/07/10 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.0807.1606

I found many misses in this paper

openalex publication_date 2008/07/10 · arxiv created 2017/07/24 · arxiv updated 2017/07/25 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, we show that an irreducible proper complex equifocal submanifold of codimension greater than one in a symmetric space of non-compact type. The proof is performed by showing the homogeneity of the lift of the complexification of the original submanifold to some infinite dimensional anti-Kahelerian space.

Citations

• Discrete Groups Generated by Reflections

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