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

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 ۴-dimensional illustration. The findings deepen the understanding of non-Riemannian geometric structures and suggest potential applications in generalized theories of gravity.

کلیدواژه ها:

Semi-symmetric metric connection ، ω-parallel Ricci tensor ، concircular curvature tensor ، Projective curvature tensor ، Codazzi type