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

Abstract

We define a new type of quarter-symmetric non-metric ξ-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 ξ-connection on an LP-Sasakian manifold, we give a non-trivial example in dimension 4 and verify our results.

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