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- Title
Tangent Bundles Endowed with Quarter-Symmetric Non-Metric Connection (QSNMC) in a Lorentzian Para-Sasakian Manifold.
- Authors
Kumar, Rajesh; Colney, Lalnunenga; Shenawy, Samesh; Bin Turki, Nasser
- 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.
- Subjects
TANGENT bundles; EINSTEIN manifolds
- Publication
Mathematics (2227-7390), 2023, Vol 11, Issue 19, p4163
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math11194163