Generalized Quasi-Einstein Metrics and Contact Geometry

被引：0

作者：

Biswas, Gour Gopal ^{[1
]}

De, Uday Chand ^{[2
]}

Yildiz, Ahmet ^{[3
]}

机构：

[1] Univ Kalyani, Dept Math, Kalyani 741235, West Bengal, India

[2] Univ Calcutta, Dept Pure Math, 35 Ballygaunge Circular Rd, Kolkata 700019, West Bengal, India

[3] Inonu Univ, Educ Fac, Dept Math, TR-44280 Malatya, Turkey

来源：

KYUNGPOOK MATHEMATICAL JOURNAL | 2022年 / 62卷 / 03期

关键词：

GQE metrics; Almost contact manifolds; Contact manifolds; K-contact manifolds; Sasakian manifolds; K-CONTACT; GRADIENT; MANIFOLDS; (K;

D O I：

10.5666/KMJ.2022.62.3.485

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this paper is to characterize K-contact and Sasakian manifolds whose metrics are generalized quasi-Einstein metric. It is proven that if the metric of a K-contact manifold is generalized quasi-Einstein metric, then the manifold is of constant scalar curvature and in the case of a Sasakian manifold the metric becomes Einstein under certain restriction on the potential function. Several corollaries have been provided. Finally, we consider Sasakian 3-manifold whose metric is generalized quasi-Einstein metric.

引用

页码：485 / 495

页数：11

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