(ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection

S. Girish Babu; R. Rajendra; P. Siva Kota Reddy; N. Pavani

doi:10.59400/jam.v1i2.113

(ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection

S. Girish Babu Department of Mathematics, Siddaganga Institute of Technology, Tumkur 572103, Karnataka, India
R. Rajendra Department of Mathematics, Field Marshal K. M. Cariappa College, Madikeri 571201, Karnataka, India
P. Siva Kota Reddy Department of Mathematics, JSS Science and Technology University, Mysuru 570006, Karnataka, India
N. Pavani Department of Mathematics, Sri Krishna Institute of Technology, Bangalore 560090, Karnataka, India

Article ID: 113

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DOI: https://doi.org/10.59400/jam.v1i2.113

Keywords: (ϵ)-Kenmotsu manifold, quasi-conformal curvature tensor, concircular curvature tensor, Schouten-van Kampen connection

Abstract

The objective of this paper is to study some properties of quasi-conformal and concircular tensor on (ϵ)-Kenmotsu manifold admitting the Schouten-van Kampen connection. Expressions of the curvature tensor, Ricci tensor and scalar curvature admitting Schouten-van Kampen connection have been obtained. Locally symmetric (ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection and quasicon formally flat as well as quasi-conformally semisymmetric (ϵ)-Kenmotsu manifolds admitting Schouten-van Kampen connection are studied.

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Published

2023-07-10

How to Cite

Babu, S. G., Rajendra, R., Reddy, P. S. K., & Pavani, N. (2023). (ϵ)-Kenmotsu manifold admitting Schouten-van Kampen connection. Journal of AppliedMath, 1(2), 113. https://doi.org/10.59400/jam.v1i2.113

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