Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection

Year 2019, Volume: 12 Issue: 2, 250 - 259, 03.10.2019

S. K. Chaubey Uday Chand De

https://doi.org/10.36890/iejg.548364

Cited By: 6

Abstract

We define a new type of quarter-symmetric non-metric $\xi$-connection on an $LP$-Sasakian manifold and prove its existence. We provide its application in the general theory of relativity. To validate the existence of the quarter-symmetric non-metric $\xi$-connection on an $LP$-Sasakian manifold, we give a non-trivial example in dimension $4$ and verify our results.

Keywords

Lorentzian para-Sasakian manifold, quarter-symmetric non-metric connection, conformal curvature tensors, Einstein space

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