Invariant Holomorphic Statistical Submersions

Year 2025, Volume: 18 Issue: 2, 475 - 487

Kazuhiko Takano , Adela Mihai , Ion Mihai , M. Hasan Shahid

Abstract

The notion of a statistical submersion is due to Abe and Hasegawa. In particular, one of the present authors defined holomorphic statistical submersions. In a joint paper with S. Kazan, he studied anti-invariant holomorphic statistical submersions. In the present paper, we investigate invariant statistical submersions and give their geometric properties. Two examples of such submersions are provided.

Keywords

Statistical manifold , holomorphic statistical manifold , statistical submersion , holomorphic statistical submersion

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