Liftings from Lorentzian α-Sasakian manifolds to tangent bundles
DOI:
https://doi.org/10.31489/2025m2/137-146Keywords:
complete lift, tangent bundle, mathematical operators, Weyl conformal curvature tensor, conharmoic curvature tensor, projective curvature tensor, concircular curvature tensor, trans-Sasakian manifolds, Lorentzian α-Sasakian manifolds, partial differential equationsAbstract
The goal of the current study is to investigate the complete lift of Lorentzian α-Sasakian manifolds to the tangent bundle TM. We also examine the complete lift of the different four types of Lorentzian αSasakian manifolds and find that (TM,gC) is an η-Einstein manifold in each instance. In order to show that a Lorentzian α-Sasakian manifold exists on TM, a non-trivial example by means of partial differential equations is built in the final section.
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Published
2025-06-30
How to Cite
Khan, M., De, U., & Choudhary, M. (2025). Liftings from Lorentzian α-Sasakian manifolds to tangent bundles. Bulletin of the Karaganda University. Mathematics Series, 118(2), 137–146. https://doi.org/10.31489/2025m2/137-146
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MATHEMATICS