Weakly η-Einstein Contact Manifolds

被引：0
|
作者：
Cho, Jong Taek [1 ]
Chun, Sun Hyang [2 ]
Euh, Yunhee [3 ]
机构：
[1] Chonnam Natl Univ, Dept Math, Gwangju 61186, South Korea
[2] Chosun Univ, Dept Math, Gwangju 61452, South Korea
[3] Sungkyunkwan Univ, Dept Math, Suwon 16419, South Korea
来源：
RESULTS IN MATHEMATICS | 2022年 / 77卷 / 03期
基金：
新加坡国家研究基金会;
关键词：
Weakly eta-Einstein; (k; mu)-space; unit tangent sphere bundle;
D O I：
10.1007/s00025-022-01645-0
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of weakly eta-Einstein structure. Then we prove that a 3-dimensional eta-Einstein almost contact metric manifold is weakly eta-Einstein. Moreover, the generalized Sasakian space forms are weakly eta-Einstein. Furthermore, we obtain the characteristic equation for a non-Sasakian contact (k, mu)-space to be weakly eta-Einstein, which provides many interesting examples. In particular, we determine the base manifold whose unit tangent sphere bundle T1M(c) is weakly eta-Einstein.
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页数：16
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