Liftings from Lorentzian α-Sasakian manifolds to tangent bundles

Authors

  • M.N.I. Khan Qassim University, Buraydah, Saudi Arabia https://orcid.org/0000-0002-9652-0355
  • U.C. De University of Calcutta , Kolkata, India
  • M.A. Choudhary Maulana Azad National Urdu University, Hyderabad, India

DOI:

https://doi.org/10.31489/2025m2/137-146

Keywords:

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 equations

Abstract

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.

Downloads

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

Issue

2025 (118) 2

Section

MATHEMATICS