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.
$K$-paracontact metric manifolds $(k,\mu)$-paracontact metric manifolds $m$-quasi Einstein metric
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Article |
Authors | |
Early Pub Date | July 23, 2022 |
Publication Date | October 31, 2022 |
Acceptance Date | May 22, 2022 |
Published in Issue | Year 2022 Volume: 15 Issue: 2 |