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Geometric structures on Lorentzian para-Kenmotsu manifolds admitting a semi-symmetric metric connection | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 7، شماره 1، 2026، صفحه 141-160 اصل مقاله (361.53 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2025.17998.1173 | ||
| نویسندگان | ||
| Abhinav Verma* ؛ Rajendra Prasad؛ Vindhyachal Singh Yadav | ||
| Department of Mathematics and Astronomy, University of Lucknow, 226007-Lucknow, Uttar Pradesh, India | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Semi-symmetric metric connection؛ ω-parallel Ricci tensor؛ Concircular curvature tensor؛ Projective curvature tensor؛ Codazzi type | ||
| مراجع | ||
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