Recent developments on Chen–Ricci inequalities in differential geometry

BY Chen, AM Blaga - Geometry of Submanifolds and Applications, 2024 - Springer
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 …

[HTML][HTML] Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection

Y Li, M Aquib, MA Khan, I Al-Dayel, K Masood - Axioms, 2024 - mdpi.com
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 …

Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms

Y Li, MA Khan, MD Aquib, I Al-Dayel, MZ Youssef - Axioms, 2024 - mdpi.com
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 …

[HTML][HTML] Improved Chen–Ricci inequality for curvature-like tensors and its applications

MM Tripathi - Differential Geometry and its Applications, 2011 - Elsevier
We present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like
tensors. Applying our improved Chen–Ricci inequality we study Lagrangian and Kaehlerian …

[PDF][PDF] Optimal inequalities for the Casorati curvatures of submanifolds of generalized space forms endowed with semi-symmetric metric connections

CW Lee, JW Lee, GE Vilcu… - Bulletin of the Korean …, 2015 - researchgate.net
In this paper, we prove two optimal inequalities involving the intrinsic scalar curvature and
extrinsic Casorati curvature of submanifolds of generalized space forms endowed with a …

[PDF][PDF] Some inequalities of anti-invariant Riemannian submersions in complex space forms

Y Gündüzalp, M Polat - Miskolc Mathematical Notes, 2022 - real.mtak.hu
Some inequalities of anti-invariant Riemannian submersions in complex space forms Page 1
Miskolc Mathematical Notes HU e-ISSN 1787-2413 Vol. 23 (2022), No. 2, pp. 703–714 DOI …

[PDF][PDF] On Ricci curvature of submanifolds

S Hong, MM Tripathi - Int. J. Pure Appl. Math. Sci, 2005 - researchgate.net
We obtain a basic inequality involving Ricci curvature and the squared mean curvature of a
submanifold of a Riemannian manifold. Then we find its several applications in different kind …

Pointwise almost h-semi-slant submanifolds

KS Park - International Journal of Mathematics, 2015 - World Scientific
We introduce the notions of pointwise almost h-slant submanifolds and pointwise almost h-
semi-slant submanifolds as a generalization of slant submanifolds, pointwise slant …

[PDF][PDF] B.-Y. Chen inequalities for slant submanifolds in quaternionic space forms

GE Vilcu - Turkish Journal of Mathematics, 2010 - journals.tubitak.gov.tr
B.-Y. Chen inequalities for slant submanifolds in quaternionic space forms Page 1 Turkish
Journal of Mathematics Volume 34 Number 1 Article 11 1-1-2010 B.-Y. Chen inequalities for …

[PDF][PDF] Chen-Ricci inequalities in slant submersions for complex space forms

Y Gündüzalp, M Polat - Filomat, 2022 - elib.mi.sanu.ac.rs
Chen-Ricci Inequalities in Slant Submersions for Complex Space Forms Page 1 Filomat 36:16
(2022), 5449–5462 https://doi.org/10.2298/FIL2216449G Published by Faculty of Sciences and …