Axioms (Jan 2025)

Super Quasi-Einstein Warped Products Manifolds with Respect to Affine Connections

  • Mohd Vasiulla,
  • Mohabbat Ali,
  • Meraj Ali Khan,
  • Ibrahim Aldayel

DOI
https://doi.org/10.3390/axioms14020110
Journal volume & issue
Vol. 14, no. 2
p. 110

Abstract

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In this paper, we investigate warped products on super quasi-Einstein manifolds under affine connections. We explore their fundamental properties, establish conditions for their existence, and prove that these manifolds can also be nearly quasi-Einstein and pseudo quasi-Einstein. To illustrate, we provide examples in both Riemannian and Lorentzian geometries, confirming their existence. Finally, we construct and analyze an explicit example of a warped product on a super quasi-Einstein manifold with respect to affine connections.

Keywords