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Generalized Quasi-Einstein Metrics and Contact Geometry.
- Source :
-
Kyungpook Mathematical Journal . Sep2022, Vol. 62 Issue 3, p485-495. 11p. - Publication Year :
- 2022
-
Abstract
- 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. [ABSTRACT FROM AUTHOR]
- Subjects :
- *EINSTEIN manifolds
*SASAKIAN manifolds
*GEOMETRY
Subjects
Details
- Language :
- English
- ISSN :
- 12256951
- Volume :
- 62
- Issue :
- 3
- Database :
- Academic Search Index
- Journal :
- Kyungpook Mathematical Journal
- Publication Type :
- Academic Journal
- Accession number :
- 160748537
- Full Text :
- https://doi.org/10.5666/KMJ.2022.62.3.485