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.
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页码：109 / 123
页数：15
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