Geometric structures on Lorentzian para-Kenmotsu manifolds admitting a semi-symmetric metric connection

Articles in Press

Document Type : Original Article

Authors

Department of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, India

Abstract

In this paper, we study Lorentzian para-Kenmotsu manifolds endowed with a semi-symmetric metric connection and establish necessary and sufficient conditions under which the Ricci tensor is ω-parallel with respect to this connection. These results extend classical notions of Ricci parallelism from Riemannian geometry to a broader non-Riemannian framework. In addition, we examine the behavior of concircular and projective curvature tensors on such manifolds and derive structural identities that highlight the influence of semi-symmetric torsion on fundamental geometric invariants. To support our theoretical developments, we construct an explicit 4-dimensional illustration. The findings deepen the understanding of non-Riemannian geometric structures and suggest potential applications in generalized theories of gravity.

Keywords

References

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Journal of Finsler Geometry and its Applications

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Available Online from 09 December 2025

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