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

AUTHOR AND
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)

KEYWORDS:

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

Issue Date:

September 2020

Pages:

100-110

ISSN:

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

Source:

Vol.32 – No.9

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DOI:

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

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 ܲ\simP ⋅W2\sim ܹ = 0 is an Einstein manifold and ܹW2\sim . ܲP\sim = 0 is a quasi Einstein manifold.

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


Copy the following to cite this URL:

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

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