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

Authors : Feng WU, Yan JIANG, Liang ZHANG

Pages : 46-58

Doi:10.36890/iejg.776559

View : 12 | Download : 4

Publication Date : 2021-04-15

Article Type : Research Paper

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