[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.11568/kjm.2020.28.4.847

CERTAIN SOLITONS ON GENERALIZED (𝜅, 𝜇) CONTACT METRIC MANIFOLDS

Sarkar, Avijit (Department of Mathematics, University of Kalyani)
Bhakta, Pradip (Department of Mathematics, University of Kalyani)

Publication Information

Korean Journal of Mathematics / v.28, no.4, 2020 , pp. 847-863 More about this Journal

Abstract

The aim of the present paper is to study some solitons on three dimensional generalized (𝜅, 𝜇)-contact metric manifolds. We study gradient Yamabe solitons on three dimensional generalized (𝜅, 𝜇)-contact metric manifolds. It is proved that if the metric of a three dimensional generalized (𝜅, 𝜇)-contact metric manifold is gradient Einstein soliton then ${\mu}={\frac{2{\kappa}}{{\kappa}-2}}$ . It is shown that if the metric of a three dimensional generalized (𝜅, 𝜇)-contact metric manifold is closed m-quasi Einstein metric then ${\kappa}={\frac{\lambda}{m+2}}$ and 𝜇 = 0. We also study conformal gradient Ricci solitons on three dimensional generalized (𝜅, 𝜇)-contact metric manifolds.

Keywords

( ${\kappa},{\mu}$ )-contact metric manifold; gradient Yamabe soliton; gradient Einstein soliton; closed m-quasi Einstein metric; conformal gradient Ricci soliton;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
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