-Invariants, Inequalities of Submanifolds and Their Applications

BY Chen - arXiv preprint arXiv:1307.1877, 2013 - arxiv.org
The famous Nash embedding theorem was aimed for in the hope that if Riemannian
manifolds could be regarded as Riemannian submanifolds, this would then yield the …

Contact CR-warped product submanifolds in Sasakian manifolds

I Hasegawa, I Mihai - Geometriae Dedicata, 2003 - Springer
Abstract Recently, B.-Y. Chen studied warped products which are CR-submanifolds in
Kaehler manifolds and established general sharp inequalities for CR-warped products in …

On Chen invariants and inequalities in quaternionic geometry

GE Vîlcu - Journal of Inequalities and Applications, 2013 - Springer
On Chen invariants and inequalities in quaternionic geometry | Journal of Inequalities and
Applications Skip to main content SpringerLink Account Menu Find a journal Publish with us …

[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 …

Contact CR-warped product submanifolds in Sasakian space forms

I Mihai - Geometriae Dedicata, 2004 - Springer
Abstract Recently, B.-Y. Chen studied warped products which are CR-submanifolds in
Kaehler manifolds and established general sharp inequalities for CR-warped products in …

Chen's inequalities for submanifolds of a Riemannian manifold of quasi-constant curvature with a semi-symmetric metric connection

P Zhang, L Zhang, W Song - 2014 - projecteuclid.org
CHEN’S INEQUALITIES FOR SUBMANIFOLDS OF A RIEMANNIAN MANIFOLD OF QUASI-CONSTANT
CURVATURE WITH A SEMI-SYMMETRIC METRIC CONNECT Page 1 TAIWANESE …

Relations between extrinsic and intrinsic invariants of statistical submanifolds in Sasaki-like statistical manifolds

H Aytimur, A Mihai, C Özgür - Mathematics, 2021 - mdpi.com
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 …

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 …