Some Results on Statistical Hypersurfaces of Sasakian Statistical Manifolds and Holomorphic Statistical Manifolds

Year 2021, Volume: 14 Issue: 1, 46 - 58, 15.04.2021

Feng Wu Yan Jıang Liang Zhang

https://doi.org/10.36890/iejg.776559

Abstract

In this paper, we study the statistical immersion of codimension one from a Sasakian statistical manifold of constant φ− curvature to a holomorphic statistical manifold of constant holomorphic curvature and its converse. We prove that in both cases the constant φ− curvature equals to one and the constant holomorphic curvature must be zero. Moreover, we construct several examples of statistical manifolds, Sasakian statistical manifolds and holomorphic statistical manifolds of constant holomorphic curvature zero.

Keywords

Sasakian statistical manifolds, holomorphic statistical manifolds, constant φ−curvature, constant holomorphic curvature, statistical hypersurface

Supporting Institution

Anhui Normal University

Project Number

Research Found for the Doctoral Program of Anhui Normal University(751841)

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