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On statistical generalized recurrent manifolds | ||
| Journal of Finsler Geometry and its Applications | ||
| دوره 5، شماره 2، 2024، صفحه 101-115 اصل مقاله (290.06 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22098/jfga.2024.16014.1139 | ||
| نویسندگان | ||
| Fatemeh Asali1؛ Mohammad Bagher Kazemi Balgeshir* 2 | ||
| 1Department of Mathematics, University of Zanjan, Zanjan, Iran | ||
| 2Department of Mathematics ,University of Zanjan, P.O Box 45371-38791, Zanjan, Iran | ||
| چکیده | ||
| In this paper, we introduce a statistical generalized recurrent manifold, which its curvature tensor R*, satisfies the generalized recurrent condition ∇*R*=ΓR*+θ H. Next we prove that a statistical generalized recurrent manifold with constant curvature is as same as a generalized recurrent manifold with respect to its Levi-Civita connection. Also we show that a statistical generalized recurrent manifold is neither statistical semi-symmetric, nor statistical Ricci semi-symmetric. Finally we prove that in spite of the Riemannian manifold, a statistical generalized recurrent manifold is not statistical concircular recurrent. | ||
| کلیدواژه‌ها | ||
| Statistical manifold؛ statistical generalized recurrent manifold؛ statistical generalized concirculary recurrent؛ statistical semi symmetric | ||
| مراجع | ||
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