On the Weyl projective curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold

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On the Weyl projective curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold

Author & Affiliation:

TEERATHRAM RAGHUWANSHI

Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)

SHRAVAN KUMAR PANDEY

Department of Mathematical Sciences, A.P.S. University, Rewa-486003, Madhya Pradesh (India)

MANOJ KUMAR PANDEY

Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)

ANIL GOYAL

Department of Mathematics,University Institute of Technology,Rajiv Gandhi Proudyogiki Vishwavidyalaya, Bhopal- -462033, Madhya Pradesh ( India)

Keyword:

Projective semi-symmetric connection, SP-Sasakian manifold,, quasi-Einstein manifold,,

Issue Date:

September 2020

Abstract:

The objective of the present paper is to study the W₂-curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold. It is shown that an SP-Sasakian manifold satisfying the conditions ܲP ⋅W₂ ܹ = 0 is an Einstein manifold and ܹW₂ . ܲP = 0 is a quasi Einstein manifold.

Pages:

100-110

ISSN:

2319-8044 (Online) - 2231-346X (Print)

Source:

Vol.32 - No.9

PDF:

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DOI:

http://dx.doi.org/10.22147/jusps-A/320901

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Copy the following to cite this article:

T. Raghuwanshi; S. K. Pandey; M. K. Pandey; A. Goyal, "On the Weyl projective curvature tensor of the projective semi-symmetric connection in an SP-Sasakian manifold", Journal of Ultra Scientist of Physical Sciences, Volume 32, Issue 9, Page Number 100-110, 2020

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Available from: https://www.ultrascientist.org/paper/1538/

This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License