Geometry of homogeneous polar foliations of complex hyperbolic spaces

被引：0

作者：

Kubo, Akira ^{[1
]}

机构：

[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan

来源：

HIROSHIMA MATHEMATICAL JOURNAL | 2015年 / 45卷 / 01期

关键词：

homogeneous submanifolds; complex hyperbolic spaces; polar actions; NONCOMPACT SYMMETRIC-SPACES; COHOMOGENEITY ONE ACTIONS;

D O I：

10.32917/hmj/1428365055

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Homogeneous polar foliations of complex hyperbolic spaces have been classified by Berndt and Diaz-Ramos. In this paper, we study geometry of leaves of such foliations: the minimality, the parallelism of the mean curvature vectors, and the congruency of orbits. In particular, we classify minimal leaves.

引用

页码：109 / 123

页数：15

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