University of Mohaghegh Ardabili Journal of Finsler Geometry and its Applications 2783-0500 7 1 2026 05 01 Geometric structures on Lorentzian para-Kenmotsu manifolds admitting a semi-symmetric metric connection 141 160 4296 10.22098/jfga.2025.17998.1173 EN Abhinav Verma Department of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, India Rajendra Prasad Department of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, India Vindhyachal Singh Yadav Department of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, India Journal Article 2025 08 05 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. Semi-symmetric metric connection ω-parallel Ricci tensor concircular curvature tensor Projective curvature tensor Codazzi type https://jfga.uma.ac.ir/article_4296_2f7e4bf7b7d065cefc41672e38433e3d.pdf