Abstract The theory of $\delta $-invariants, initiated by the author in the early 1990s, is a
challenging topic in modern differential geometry, having a lot of applications. In the spirit of …

The main purpose of the present work is to investigate statistical manifolds endowed with
almost product structures. We prove that the statistical structure of a para-Kähler-like …

Riemannian maps are generalizations of well-known notions of isometric immersions and
Riemannian submersions. Most optimal inequalities on submanifolds in various ambient …

In this article, we consider statistical submanifolds of Kenmotsu statistical manifolds of
constant ϕ-sectional curvature. For such submanifold, we investigate curvature properties …

In the first part of this paper, using an optimization method on Riemannian submanifolds, we
prove that for any Legendrian submanifold of a Sasakian space form M ̄ 2 n+ 1 (c) of …

Motivated by one of the problems proposed by [Vilcu and Vilcu, Statistical manifolds with
almost quaternionic structures and quaternionic Kaehler-like statistical submersions …

Pointwise slant submanifolds were introduced by Chen and Garay (2012)[16] as a natural
generalization of slant submanifolds. On the other hand, pointwise slant submersions were …

Curvature Inequalities for Slant Submanifolds in Pointwise Kenmotsu Space Forms |
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In this paper, we prove some inequalities in terms of the normalized δ-Casorati curvatures
(extrinsic invariants) and the scalar curvature (intrinsic invariant) of statistical submanifolds …

The goal of this paper is to analyze sharp-type inequalities including the scalar and Ricci
curvatures of bi-slant Riemannian submersions in complex space forms. Then, for bi-slant …