Takano, KazuhikoKazan, Sema2024-08-042024-08-0420241660-54461660-5454https://doi.org/10.1007/s00009-024-02621-4https://hdl.handle.net/11616/101961The 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.eninfo:eu-repo/semantics/closedAccessAlmost complex manifoldstatistical manifoldstatistical submersiongeneralized K & auml;hler-like statistical submersionArticle21310.1007/s00009-024-02621-42-s2.0-85191973512Q2WOS:001225929300001N/A