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

Authors : S K CHAUBEY, Uday Chand DE

Pages : 250-259

Doi:10.36890/iejg.548364

View : 49 | Download : 10

Publication Date : 2019-10-03

Article Type : Research Paper

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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