Results 11 to 20 of about 5,193,136 (315)

Warped Product Submanifolds in Locally Golden Riemannian Manifolds with a Slant Factor

Mathematics, 2021
In the present paper, we study some properties of warped product pointwise semi-slant and hemi-slant submanifolds in Golden Riemannian manifolds, and we construct examples in Euclidean spaces.
Cristina E. Hretcanu, Adara M. Blaga
doaj   +2 more sources

Ricci Curvature for Warped Product Submanifolds of Sasakian Space Forms and Its Applications to Differential Equations

Journal of Mathematics, 2021
In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh, Akram Ali, Nadia Alluhaibi, Olga Belova   +3 more
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Warped Product Submanifolds of Riemannian Product Manifolds [PDF]

Abstract and Applied Analysis, 2012
We study warped product of the type Nθ×fNT and Nθ×fN⊥, where Nθ, NT, and N⊥ are proper slant, invariant, and anti-invariant submanifolds, respectively, and we prove some basic results and finally obtain some inequalities for squared norm of second ...
Falleh R. Al-Solamy, Meraj Ali Khan
doaj   +3 more sources

Geometric Mechanics on Warped Product Semi-Slant Submanifold of Generalized Complex Space Forms

Advances in Mathematical Physics, 2021
In this study, we develop a general inequality for warped product semi-slant submanifolds of type Mn=NTn1×fNϑn2 in a nearly Kaehler manifold and generalized complex space forms using the Gauss equation instead of the Codazzi equation.
Yanlin Li, Ali H. Alkhaldi, Akram Ali
doaj   +2 more sources

Riemannian invariants for warped product submanifolds in Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}} and their applications

Open Mathematics
This article investigates the geometric and topologic of warped product submanifolds in Riemannian warped product Qεm×R{{\mathbb{Q}}}_{\varepsilon }^{m}\times {\mathbb{R}}.
Li Yanlin, Alshehri Norah, Ali Akram
doaj   +2 more sources

Scalar curvature rigidity of degenerate warped product spaces [PDF]

Transactions of the American Mathematical Society. Series B, 2023
In this paper we prove the scalar curvature extremality and rigidity for a class of warped product spaces that are possibly degenerate at the two ends.
Jinmin Wang, Zhizhang Xie
semanticscholar   +1 more source

Scalar Curvature Rigidity of Warped Product Metrics [PDF]

Symmetry, Integrability and Geometry: Methods and Applications, 2023
We show scalar-mean curvature rigidity of warped products of round spheres of dimension at least 2 over compact intervals equipped with strictly log-concave warping functions.
Christian Baer, S. Brendle, B. Hanke, Yipeng Wang   +3 more
semanticscholar   +1 more source

On the geometry of warped product submanifolds of a quasi-hemi Slant submanifold with trans para Sasakian [PDF]

Journal of Hyperstructures, 2023
The existence or non-existence of warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds is defined. Then we obtain that there are no proper warped product quasi-hemi slant submanifolds in trans para-sasakian manifolds such that ...
Sabi Ahmad, Niranjan Kumar Mishra
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On geometry of warped product semi invariant submanifolds of nearly (ε, δ)-trans sasakian manifold with a certain connection [PDF]

Journal of Hyperstructures, 2023
In this paper, we study the geometry of warped product semi invariant submanifold of a nearly (ε, δ)-trans-Sasakianmanifold M with a quarter symmetric non metric connection. We see that warped product of the typeE⊥×yET is a usual Riemannian product of E⊥
Shamsur Rahman, Sabi Ahmad, Niranjan Kumar Mishra   +2 more
doaj   +1 more source

Almost Ricci–Bourguignon Solitons on Doubly Warped Product Manifolds

Universe, 2023
This study aims at examining the effects of an almost Ricci–Bourguignon soliton structure on the base and fiber factor manifolds of a doubly warped product manifold.
Sameh Shenawy, Nasser Bin Turki, Noha Syied, Carlo Mantica   +3 more
doaj   +1 more source