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Öğe Anti-invariant Holomorphic Statistical Submersions(Springer Basel Ag, 2023) Kazan, Sema; Takano, KazuhikoOur purpose in this article is to study anti-invariant statistical submersions from holomorphic statistical manifolds. Firstly we introduce holomorphic statistical submersions satisfying the certain condition, after we give anti-invariant statistical submersions satisfying the certain condition. And we supported our results with examples.Öğe Statistical Submersions with Parallel Almost Complex Structures(Springer Basel Ag, 2024) Takano, Kazuhiko; Kazan, SemaThe aim of the present paper is to study statistical submersions with parallel almost complex structures. First, we define the notion of the generalized K & auml;hler-like statistical submersion and give examples of the K & auml;hler-like statistical submersions. In addition, we investigate total space and fibers under certain conditions. After, we introduce some results on J-invariant, J & lowast; \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$J<^>{*}$$\end{document} -invariant and anti-invariant generalized K & auml;hler-like statistical submersions.