m-quasi Einstein Metric and Paracontact Geometry

Year 2022, , 304 - 312, 31.10.2022

Krishnendu De , U.c. De , Fatemah Mofarreh

https://doi.org/10.36890/iejg.1100147

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 $(k,\mu)$-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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