Results 11 to 20 of about 192 (102)

Improved Chen’s Inequalities for Submanifolds of Generalized Sasakian-Space-Forms

Axioms, 2022
In this article, we derive Chen’s inequalities involving Chen’s δ-invariant δM, Riemannian invariant δ(m1,⋯,mk), Ricci curvature, Riemannian invariant Θk(2≤k≤m), the scalar curvature and the squared of the mean curvature for submanifolds of generalized ...
Yanlin Li, Mohan Khatri, Jay Prakash Singh, Sudhakar K. Chaubey   +3 more
doaj   +1 more source

Optimal Inequalities for Hemi-Slant Riemannian Submersions

Mathematics, 2022
In the present paper, we establish some basic inequalities involving the Ricci and scalar curvature of the vertical and the horizontal distributions for hemi-slant submersions having the total space a complex space form. We also discuss the equality case
Mehmet Akif Akyol, Ramazan Demir, Nergiz Önen Poyraz, Gabriel-Eduard Vîlcu   +3 more
doaj   +1 more source

Curvature Invariants for Statistical Submanifolds of Hessian Manifolds of Constant Hessian Curvature

Mathematics, 2018
We consider statistical submanifolds of Hessian manifolds of constant Hessian curvature. For such submanifolds we establish a Euler inequality and a Chen-Ricci inequality with respect to a sectional curvature of the ambient Hessian manifold.
Adela Mihai, Ion Mihai
doaj   +1 more source

Applications of differential equations to characterize the base of warped product submanifolds of cosymplectic space forms

Journal of Inequalities and Applications, 2020
In the present, we first obtain Chen–Ricci inequality for C-totally real warped product submanifolds in cosymplectic space forms. Then, we focus on characterizing spheres and Euclidean spaces, by using the Bochner formula and a second-order ordinary ...
Akram Ali, Fatemah Mofarreh, Wan Ainun Mior Othman, Dhriti Sundar Patra   +3 more
doaj   +1 more source

Chen–Ricci inequalities for submanifolds of Riemannian and Kaehlerian product manifolds

Annales Polonici Mathematici, 2016
Summary: Some examples of slant submanifolds of almost product Riemannian manifolds are presented. The existence of a useful orthonormal basis in proper slant submanifolds of a Riemannian product manifold is proved. The sectional curvature, the Ricci curvature and the scalar curvature of submanifolds of locally product manifolds of almost constant ...
Kilic, Erol, Tripathi, Mukut Mani, Guelbahar, Mehmet   +2 more
openaire   +4 more sources

Some Chen Inequalities for Submanifolds in Trans-Sasakian Manifolds Admitting a Semi-Symmetric Non-Metric Connection

Axioms
In the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed, Fortuné Massamba, Ion Mihai, Abd Elmotaleb A. M. A. Elamin, M. Saif Aldien   +4 more
doaj   +1 more source

Statistical Solitons and Inequalities for Statistical Warped Product Submanifolds

Mathematics, 2019
Warped products play crucial roles in differential geometry, as well as in mathematical physics, especially in general relativity. In this article, first we define and study statistical solitons on Ricci-symmetric statistical warped products R ×
Aliya Naaz Siddiqui, Bang-Yen Chen, Oguzhan Bahadir   +2 more
doaj   +1 more source

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, Md Aquib, Meraj Ali Khan, Ibrahim Al-Dayel, Khalid Masood   +4 more
doaj   +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.
Md Aquib, Mohd Iqbal, Sarvesh Kumar Yadav   +2 more
doaj   +1 more source

Quaternion Statistical Submanifolds and Submersions

Mathematics
This paper aims to develop a general theory of quaternion Kahlerian statistical manifolds and to study quaternion CR-statistical submanifolds in such ambient manifolds.
Aliya Naaz Siddiqui, Fatimah Alghamdi
doaj   +1 more source