Projective Curvature Tensor with Respect to Zamkovoy Connection in Lorentzian Para-Sasakian Manifolds

Abhijit Mandal; Ashoke Das

doi:10.22342/jims.26.3.928.369-379

Abhijit Mandal ⁽¹⁾ , Ashoke Das ⁽²⁾

(1) Raiganj Surendranath Mahavidyalaya, India,

(2) Raiganj University, India

https://doi.org/10.22342/jims.26.3.928.369-379

Issue
VOLUME 26 NUMBER 3 (NOVEMBER 2020)

Submitted
May 28, 2020

Accepted
October 7, 2020

Published
November 5, 2020

Keywords:

LP-Sasakian manifolds, Zamkovoy Connection, Projective Curvature tensor

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Abstract

The purpose of the present paper is to study some properties of the Projective curvature tensor with respect to Zamkovoy connection in Lorentzian Para Sasakian manifold(or,LP-Sasakian manifold)'And we have studied some results in Lorentzian Para-Sasakian manifold with the help of Zamkovoy connection and Projective curvature tensor.Also we discussed the LP-Sasakian manifold satisfying P*(ξ,U)∘W₀*=0,P*(ξ,U)∘W₂*=0 , where W₀*,W₂* and P* are W₀,W₂ and Projective curvature tensors with respect to Zamkovoy connection.

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Authors

Abhijit Mandal

Raiganj Surendranath Mahavidyalaya

abhijit4791@gmail.com (Primary Contact)

Ashoke Das

Raiganj University

Author Biographies

Abhijit Mandal, Raiganj Surendranath Mahavidyalaya

MATHEMATICS

Ashoke Das, Raiganj University

MATHEMATICS

Mandal, A., & Das, A. (2020). Projective Curvature Tensor with Respect to Zamkovoy Connection in Lorentzian Para-Sasakian Manifolds. Journal of the Indonesian Mathematical Society, 26(3), 369–379. https://doi.org/10.22342/jims.26.3.928.369-379