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.

引用

页数：16

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