Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold

Rajesh Kumar, Lalnunenga Colney, Samesh Shenawy and Nasser Bin Turki ()
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Rajesh Kumar: Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India
Lalnunenga Colney: Department of Mathematics, Pachhunga University College, Mizoram University, Aizawl 796001, India
Samesh Shenawy: Basic Science Department, Modern Academy for Engineering and Technology, Maadi 11585, Egypt
Nasser Bin Turki: Department of Mathematics, College of Science, King Saud University, P.O. Box 2455, Riyadh 11451, Saudi Arabia

Mathematics, 2023, vol. 11, issue 19, 1-15

Abstract: The purpose of the present paper is to study the complete lifts of a QSNMC from an LP-Sasakian manifold to its tangent bundle. The lifts of the curvature tensor, Ricci tensor, projective Ricci tensor, and lifts of Einstein manifold endowed with QSNMC in an LP-Sasakian manifold to its tangent bundle are investigated. Necessary and sufficient conditions for the lifts of the Ricci tensor to be symmetric and skew-symmetric and the lifts of the projective Ricci tensor to be skew-symmetric in the tangent bundle are given. An example of complete lifts of four-dimensional LP-Sasakian manifolds in the tangent bundle is shown.

Keywords: Lorentzian para-Sasakian manifolds; complete lifts; tangent bundle; quarter-symmetric non-metric connection; partial differential equations; mathematical operators; curvature tensor; projective Ricci tensor; Einstein manifold (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

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