In this article, we derive Chen's inequalities involving Chen's δ-invariant δ M, Riemannian
invariant δ (m 1,⋯, mk), Ricci curvature, Riemannian invariant Θ k (2≤ k≤ m), the scalar …

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 …

Chen inequalities for statistical submersions between statistical manifolds Page 1 International
Journal of Geometric Methods in Modern Physics Vol. 18, No. 4 (2021) 2150049 (17 pages) c© …

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 …

Mathematics | Free Full-Text | Relations between Extrinsic and Intrinsic Invariants of Statistical
Submanifolds in Sasaki-Like Statistical Manifolds Next Article in Journal Generalization of the …

In this paper, we first define a Kenmotsu-like statistical manifold (K. ls m) with examples.
Then, we switch to Kenmotsu-like statistical submersions (K. ls s), where we investigate the …

In this paper, we prove some inequalities between intrinsic and extrinsic curvature
invariants, namely involving the Chen first invariant and the mean curvature of totally real …

We generalize the Euler inequality for statistical submanifolds. Several basic examples of
doubly autoparallel statistical submanifolds in warped product spaces are described, for …

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 …

Chen's first inequality for statistical submanifolds in Hessian manifolds of constant Hessian
curvature was obtained by B.-Y. Chen et al. Other particular cases of Chen inequalities in a …