Beginning with the theory of curves and surfaces in ordinary Euclidean 3-space, the theory
of submanifolds as a subarea of differential geometry dates back as far as differential …

One of the most fundamental interests in submanifold theory is to establish simple
relationships between the main extrinsic invariants and the main intrinsic invariants of …

This article explores the Ricci tensor of slant submanifolds within locally metallic product
space forms equipped with a semi-symmetric metric connection (SSMC). Our investigation …

A statistical manifold is a smooth manifold equipped with a pair of a Riemannian metric and
a torsion-free affine connection satisfying the Codazzi equation. We naturally have various …

In this paper we investigate statistical manifolds with almost quaternionic structures. We
define the concept of quaternionic Kähler-like statistical manifold and derive the main …

A Chen First Inequality for Statistical Submanifolds in Hessian Manifolds of Constant Hessian
Curvature | SpringerLink Skip to main content Advertisement SpringerLink Log in Menu Find a …

In this article, we study isotropic submanifolds in locally metallic product space forms. Firstly,
we establish the Chen–Ricci inequality for such submanifolds and determine the conditions …

In this paper, we study statistical manifolds and their submanifolds. We first construct two
new examples of statistical warped product manifolds and give a method how to construct …

The Wintgen inequality (1979) is a sharp geometric inequality for surfaces in the 4-
dimensional Euclidean space involving the Gauss curvature (intrinsic invariant) and the …

The study of warped products plays versatile roles in differential geometry as well as in
mathematical physics, especially in general relativity (GR). In the present paper, we study …