Kenmotsu manifolds admitting Schouten-Van Kampen Connection

Nagaraja Gangadharappa Halammanavar, Kiran Kumar Lakshmana Devasandra

DOI Number
https://doi.org/10.22190/FUMI1901023H
First page
23
Last page
34

Abstract


The objective of the present paper is to study Kenmotsu manifold admitting Schouten-van Kampen connection. We study Kenmotsu manifold admitting Schouten-van Kampen connection satisifying certain curvature conditions. Also we prove equivalent conditions for Ricci soliton in a Kenmotsu manifold is steady with respect to the Schouten-van Kampen connection.

Keywords

Ricci solitons, Kenmotsu manifolds, Schouten-van Kampen connection, concircular curvature tensor, projective curvature tensor, conharmonic curvature tensor, shrinking

Keywords


Ricci solitons, Kenmotsu manifolds, Schouten-van Kampen Connection, concircular curvature tensor, Projective curvature tensor, conharmonic curvature tensor, shrinking, expanding, steady

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References


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DOI: https://doi.org/10.22190/FUMI1901023H

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