Homogeneous Einstein-Randers metrics on some Stiefel manifolds

被引：1
|
作者：
Tan, Ju [1 ]
Xu, Na [1 ]
机构：
[1] Anhui Univ Technol, Sch Math & Phys Sci & Engn, Maanshan 243032, Peoples R China
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2018年 / 131卷
关键词：
Stiefel manifolds; Einstein-Randers metrics; Homogeneous manifolds; LIE-GROUPS; SPACES; SPHERES;
D O I：
10.1016/j.geomphys.2018.05.005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Stiefel manifolds VqRn of all orthonormal q-frames in R-n are diffeomorphic to the homogeneous space SO(n)/SO(n - q). In this paper, we prove that there exist at least four homogeneous Einstein-Randers metrics on SO(n)/SO(n - 4) (n >= 6), Moreover, we get at least six homogeneous Einstein-Randers metrics on SO(7)/SO(2). (C) 2018 Elsevier B.V. All rights reserved.
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页码：182 / 188
页数：7
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