Semi-symmetric non-metric connections on statistical manifolds

被引：6

作者：

Yildirim, Mustafa ^{[1
]}

机构：

[1] Aksaray Univ, Fac Sci, Dept Math, TR-68100 Aksaray, Turkey

来源：

JOURNAL OF GEOMETRY AND PHYSICS | 2022年 / 176卷

关键词：

Statistical manifolds; Statistical submanifolds; Curvature tensors; Semi-symmetric non-metric connection; HYPERSURFACES; GEOMETRY; SPACE;

D O I：

10.1016/j.geomphys.2022.104505

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This study presents a semi-symmetric non-metric connection on statistical manifolds and their submanifolds. The study determines some fundamental properties for the curvature tensor and proves the induced connection on the submanifold with the semi-symmetric non-metric connection. Also, the Gauss, Codazzi, and Ricci equations admitting semi symmetric non-metric connection have been examined. Finally, a constructive example of such type manifolds is presented. (c) 2022 Elsevier B.V. All rights reserved.

引用

页数：10

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