关于 Kenmotsu 和 Sasakian 统计流形的一些结果

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-09-09 DOI:10.1016/j.difgeo.2024.102179

Fereshteh Malek, Parvin Fazlollahi

引用次数: 0

摘要

本文主要证明在 Kenmotsu 和 Sasakian 统计流形上，只有当它们的协变导数相等时，黎曼曲率张量场和统计曲率张量场才相等。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Some results on Kenmotsu and Sasakian statistical manifolds

In this paper, we mainly prove that on Kenmotsu and Sasakian statistical manifolds, the Riemannian curvature tensor and the statistical curvature tensor fields are equal, only if their covariant derivatives are equal.

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来源期刊

Differential Geometry and its Applications 数学-数学

CiteScore

1.00

自引率

20.00%

发文量

审稿时长

6-12 weeks

期刊介绍： Differential Geometry and its Applications publishes original research papers and survey papers in differential geometry and in all interdisciplinary areas in mathematics which use differential geometric methods and investigate geometrical structures. The following main areas are covered: differential equations on manifolds, global analysis, Lie groups, local and global differential geometry, the calculus of variations on manifolds, topology of manifolds, and mathematical physics.