Open AccessMathematicsPhysics
Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection
S. Chaubey, U. De
tlooto Summary
A new type of quarter-symmetric non-metric ξ-connection is defined and proven on LP-Sasakian manifolds with applications in general relativity.
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.
Citation format
CHAUBEY, S.; DE, U. Lorentzian para-sasakian manifolds admitting a new type of quarter-symmetric non-metric ξ-connection. International Electronic Journal of Geometry, 2019.