Results 101 to 110 of about 652,811 (132)

Chen-Ricci Inequality for Contact CR-Warped Product Submanifolds of Cosymplectic Space Forms with Applications in Geometry and Physics

International Electronic Journal of Geometry
In this paper, we prove the Chen-Ricci inequality for contact $CR$-warped products in the cosymplectic space forms, Theorem 5.1, which involves an intrinsic invariant (Ricci curvature) controlled by an extrinsic one (the mean curvature vector).
Abdulqader Mustafa, C. Özel, Monıka Satı, P. Linker   +3 more
semanticscholar   +1 more source

Hineva and Chen-Ricci Inequalities for Ricci Curvature of Submanifolds of Product Generalized Sasakian Space Forms

International Electronic Journal of Geometry
The sectional curvature, Ricci curvature, and scalar curvature for a product generalized Sasakian space form are obtained. Furthermore, the Chen-Ricci inequality and the Hineva inequality are established for submanifolds of a product generalized Sasakian
K. K. Verma, Adela Mihai, Ion Mihai, M. Tripathi   +3 more
semanticscholar   +1 more source

Chen inequality for general warped product submanifold of Riemannian warped products I×fSm(c)

Physica Scripta
In the present paper, we investigate the geometry and topology of warped product submanifolds in Riemannian warped product I×fSm(c) and obtain the first Chen inequality that involves extrinsic invariants like the mean curvature and the length of the ...
F. Mofarreh, Akram Ali
semanticscholar   +1 more source

Chen–Ricci Inequality for CR-Warped Products and Related Open Problems

Mediterranean Journal of Mathematics, 2021
Abdulqader Mustafa, S. Uddin
semanticscholar   +2 more sources

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

Axioms
This article explores the Ricci tensor of slant submanifolds within locally metallic product space forms equipped with a semi-symmetric metric connection (SSMC).
Yanlin Li, Mohd. Aquib, Meraj Ali Khan, Ibrahim Al-Dayel, Khalid Masood   +4 more
semanticscholar   +1 more source

Ricci curvature on warped product submanifolds of complex space forms and its applications

International Journal of Geometric Methods in Modern Physics (IJGMMP), 2019
The upper bound of Ricci curvature conjecture, also known as Chen-Ricci conjecture, was formulated by Chen [B. Y. Chen, Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimension, Glasgow Math. J.
Akram Ali, Pişcoran Laurian-Ioan, A. H. Alkhaldi, L. Alqahtani   +3 more
semanticscholar   +1 more source

Ricci tensor of slant submanifolds in locally metallic product space forms

Filomat
In this paper, we investigate the Ricci tensor of slant submanifolds in locally metallic product space forms. We derive the Chen-Ricci inequality and discuss its equality case. We also provide several applications of our results.
Mohd. Aquib, Meraj Khan, Ibrahim Al-Dayel   +2 more
semanticscholar   +1 more source

Chen-like Inequalities for Submanifolds in Kähler Manifolds Admitting Semi-Symmetric Non-Metric Connections

Symmetry
The geometry of submanifolds in Kähler manifolds is an important research topic. In the present paper, we study submanifolds in complex space forms admitting a semi-symmetric non-metric connection.
Ion Mihai, Andreea Olteanu
semanticscholar   +1 more source

Classification Results of f-Biharmonic Immersion in T-Space Forms

Axioms
We investigate f-biharmonic submanifolds in T-space form, where we analyze different scenarios and provide necessary and sufficient conditions for f-biharmonicity.
Mohd. Aquib, Mohd Iqbal, S. Yadav
semanticscholar   +1 more source

Curvature invariants of Lagrangian Riemannian submersions from locally product spaces

Filomat
In this paper, we obtain various inequalities which involve the Ricci and scalar curvatures of horizontal and vertical distributions of Lagrangian Riemannian submersion defined from locally product spaces onto a Riemannian manifold.
M. Lone, T. Wani, Yanlin Li
semanticscholar   +1 more source