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A Kenmotsu metric as a conformal $\eta$-Einstein soliton

S. Roy, S. Dey, A. Bhattacharyya

2021Carpathian Mathematical Publications33 citationsDOIOpen Access PDF

Abstract

The object of the present paper is to study some properties of Kenmotsu manifold whose metric is conformal $\eta$-Einstein soliton. We have studied certain properties of Kenmotsu manifold admitting conformal $\eta$-Einstein soliton. We have also constructed a 3-dimensional Kenmotsu manifold satisfying conformal $\eta$-Einstein soliton.

Topics & Concepts

Conformal mapManifold (fluid mechanics)MathematicsMetric (unit)Object (grammar)Pure mathematicsMathematical analysisSolitonTopology (electrical circuits)Einstein manifoldGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds
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