Kyungpook Mathematical Journal

  • 제62권3호
  • /
  • Pages.485-495
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  • 2022
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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Generalized Quasi-Einstein Metrics and Contact Geometry

  • Biswas, Gour Gopal (Department of Mathematics, University of Kalyani) ;
  • De, Uday Chand (Department of Pure Mathematics, University of Calcutta) ;
  • Yildiz, Ahmet (Education Faculty, Department of Mathematics, Inonu University)
  • 투고 : 2021.02.15
  • 심사 : 2022.02.10
  • 발행 : 2022.09.30
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초록

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.

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과제정보

The authors would like to thank the referees and editor for reviewing the paper carefully and their valuable comments to improve the quality of the paper.

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