Locally Product-like Statistical Manifolds and Their Hypersurfaces

TL;DR

This paper explores the properties of almost product-like Riemannian manifolds and their hypersurfaces, providing theoretical insights, examples, and curvature relations to deepen understanding of their geometric structure.

Contribution

It introduces new properties and relations for tangential hypersurfaces of almost product-like Riemannian manifolds, expanding the theoretical framework in differential geometry.

Findings

Basic properties of tangential hypersurfaces are established

Examples of tangential hypersurfaces are provided

Relations involving the Riemannian curvature tensor are derived

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.