- International Electronic Journal of Geometry
- Vol: 12 Issue: 2
- Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric ξ-connection...
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 : 7 | Download : 3
Publication Date : 2019-10-03
Article Type : Research
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