论来自 3-Sasakian 统计流形的统计潜流

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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