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

Teerathram Raghuwanshi | Zendy; SHRAVAN KUMAR PANDEY | Zendy; Manoj K. Pandey | Zendy; Anil Goyal | Zendy

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

Author(s) -

Teerathram Raghuwanshi,

SHRAVAN KUMAR PANDEY,

Manoj K. Pandey,

Anil Goyal

Publication year - 2020

Publication title -

journal of ultra scientist of physical sciences section a

Language(s) - English

Resource type - Journals

eISSN - 2319-8044

pISSN - 2231-346X

DOI - 10.22147/jusps-a/320901

Subject(s) - connection (principal bundle) , riemann curvature tensor , einstein manifold , pure mathematics , manifold (fluid mechanics) , mathematics , ricci decomposition , ricci curvature , curvature , geometry , mechanical engineering , engineering

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.

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