New Einstein-Randers metrics on some homogeneous manifolds

被引：0
|
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：
MATHEMATISCHE NACHRICHTEN | 2018年 / 291卷 / 17-18期
关键词：
Einstein-Randers metrics; flag manifolds; homogeneous manifolds;
D O I：
10.1002/mana.201800075
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this article, we find several new non-Riemannian Einstein-Randes metrics on some homogeneous manifolds arising from the exceptional Lie groups. Based on the discussions about generalized flag manifolds with second Betti number b(2)(M) = 1, we firstly prove that there exists Riemannian Einstein metrics on these homogeneous manifolds. Then, we prove that there exists non-Riemannian Einstein-Randers metrics on these homogeneous manifolds.
引用
收藏
页码：2693 / 2708
页数：16
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