Mixed 3-Sasakian statistical manifolds and statistical submersions (Q6616246)
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scientific article; zbMATH DE number 7923844
| Language | Label | Description | Also known as |
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| English | Mixed 3-Sasakian statistical manifolds and statistical submersions |
scientific article; zbMATH DE number 7923844 |
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Mixed 3-Sasakian statistical manifolds and statistical submersions (English)
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8 October 2024
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The author investigates the influence of the existence of paraquaternionic and mixed 3-structures on the geometry of statistical manifolds. In the first part of the paper, the main properties of statistical manifolds equipped with such kind of structures are derived. The second part is devoted to the study of statistical submersions with total space a mixed 3-Sasakian manifold or a paraquaternionic Kähler-like statistical manifold. Some illustrative examples are also given in the last part of the article.\N\NFor the entire collection see [Zbl 1532.53004].
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statistical submersions
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mixed 3-structures
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paraquaternionic structures
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distributions
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