论来自 3-Sasakian 统计流形的统计潜流

IF 0.6 4区数学 Q3 MATHEMATICS

Differential Geometry and its Applications Pub Date : 2024-03-18 DOI:10.1016/j.difgeo.2024.102124

Mohammad Bagher Kazemi Balgeshir, Shiva Salahvarzi

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引用次数: 0

摘要

在本文中，我们定义并描述了 3-Sasakian 统计流形，然后研究了来自 3-Sasakian 统计流形的统计潜流。我们证明，来自具有垂直结构向量场的 3-Sasakian 统计流形的不变统计潜流具有 3-Sasakian 统计全大地纤维。此外，基空间还具有四元凯勒统计结构。我们构建了一些非难例来说明本文的一些结果。

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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On statistical submersions from 3-Sasakian statistical manifolds

In this paper, we define and characterize 3-Sasakian statistical manifolds and then investigate statistical submersions from 3-Sasakian statistical manifolds. We prove that invariant statistical submersions from 3-Sasakian statistical manifolds with vertical structure vector fields have 3-Sasakian statistical totally geodesic fibers. Moreover, the base space admits a quaternionic Kähler statistical structure. We construct non-trivial examples to illustrate some results of the paper.

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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.