Locally Product-like Statistical Manifolds and Their Hypersurfaces

2022/12/06 by Esra Erkan, Erkan, Esra, Kazuhiko Takano +3
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Statistical and numerical algorithms

paper · pdf · doi:10.48550/arxiv.2212.02862

openalex publication_date 2022/12/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper, almost product-like Riemannian manifolds are investigated. Basic properties on tangential hypersurfaces of almost product-like Riemannian manifolds are obtained. Some examples of tangential hypersurfaces are presented. Some relations involving the Riemannian curvature tensor of a tangential hypersurface are computed.

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