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

Abstract

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