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2024 | OriginalPaper | Chapter

Mixed 3-Sasakian Statistical Manifolds and Statistical Submersions

Author : Crina Daniela Neacşu

Published in: Differential Geometric Structures and Applications

Publisher: Springer Nature Switzerland

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Abstract

Mixed 3-structures are known to be the counterpart in odd dimension of the quaternionic structures of second kind, also termed in the literature as paraquaternionic structures. The aim of this paper is to investigate the statistical structures in paraquaternionic and mixed 3-Sasakian geometry. We derive the main properties of statistical manifolds equipped with such kind of structures, focusing on the case of mixed 3-Sasakian statistical manifolds and paraquaternionic Kähler-like statistical manifolds. Moreover, we investigate the geometry of statistical submersions with total space a mixed 3-Sasakian manifold or a paraquaternionic Kähler-like statistical manifold. Moreover, we provide some illustrative examples.

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Title: Mixed 3-Sasakian Statistical Manifolds and Statistical Submersions
Author: Crina Daniela Neacşu
Publisher: Springer Nature Switzerland
Book: Differential Geometric Structures and Applications
Print ISBN: 978-3-031-50585-0

Electronic ISBN: 978-3-031-50586-7

Copyright Year: 2024
DOI: https://doi.org/10.1007/978-3-031-50586-7_5

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