m-quasi Einstein Metric and Paracontact Geometry

Authors : Krishnendu DE, Uc DE, Fatemah MOFARREH

Pages : 304-312

Doi:10.36890/iejg.1100147

View : 38 | Download : 9

Publication Date : 2022-10-31

Article Type : Research Paper

Abstract :The object of the upcoming article is to characterize paracontact metric manifolds conceding $m$-quasi Einstein metric. First we establish that if the metric $g$ in a $K$-paracontact manifold is the $m$-quasi Einstein metric, then the manifold is of constant scalar curvature. Furthermore, we classify $insert ignore into journalissuearticles values(k,\mu);$-paracontact metric manifolds whose metric is $m$-quasi Einstein metric. Finally, we construct a non-trivial example of such a manifold.
Keywords : K paracontact metric manifolds, k, mu, paracontact metric manifolds, m quasi Einstein metric

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