On generalized normal homogeneous Randers spaces

被引：2
|
作者：
Zhang, Lei [1 ,2 ]
Deng, Shaoqiang [1 ,2 ]
机构：
[1] Nankai Univ, Sch Math Sci, Tianjin 300071, Peoples R China
[2] LPMC, Tianjin 300071, Peoples R China
来源：
PUBLICATIONES MATHEMATICAE-DEBRECEN | 2017年 / 90卷 / 3-4期
关键词：
generalized normal homogeneous space; Randers space; navigation data; RIEMANNIAN-MANIFOLDS; CURVATURE; METRICS;
D O I：
10.5486/PMD.2017.7711
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the navigation method to study the geometric properties of generalized normal homogeneous Randers spaces. We first establish a relationship between generalized normal Randers spaces and generalized normal homogeneous Riemannian manifolds, which provides many non-Riemannian examples. We then give a complete classification of generalized normal Randers spaces with positive flag curvature.
引用
收藏
页码：507 / 523
页数：17
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