Results 71 to 80 of about 2,959 (165)

Characterizations of a warped product manifold admitting semi-symmetric recurrent metric connection with applications

European Physical Journal C: Particles and Fields
This research focuses on warped product manifolds equipped with a semi-symmetric recurrent metric connection. It explores the geometric properties and implications of these warped product manifolds.
Hülya Bağdatlı Yılmaz, Uday Chand De, Aydin Gezer   +2 more
doaj   +1 more source

On the Topology of Warped Product Manifolds Minimally Immersed into a Sphere

Axioms
In this paper, we investigate the geometry and topology of compact warped product minimal submanifolds of arbitrary codimension immersed in a sphere.
Fatimah Alghamdi, Muhammad Altanji
doaj   +1 more source

On conformally symmetric warped products

Annales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2004
We prove the necessary and sufficient conditions for a warped product manifold to be conformally symmetric. Basing on these results we give two examples of such warped products.
Marian Hotloś
doaj  

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   +1 more source

On Sequential Warped Products Whose Manifold Admits Gradient Schouten Harmonic Solitons

Mathematics
As part of our study, we investigate gradient Schouten harmonic solutions to sequential warped product manifolds. The main contribution of our work is an explanation of how it is possible to express gradient Schouten harmonic solitons on sequential ...
Lixu Yan, Yanlin Li, Fatemah Mofarreh, Akram Ali, Pişcoran Laurian-Ioan   +4 more
doaj   +1 more source

Geometric inequalities for warped product bi-slant submanifolds with a warping function. [PDF]

J Inequal Appl, 2018
Siddiqui AN, Shahid MH, Lee JW.
europepmc   +1 more source

Characterizing ϕRic-Vector Fields and Quasi-Einstein Manifolds on Multiply Warped Product Manifolds

International Journal of Mathematics and Mathematical Sciences
We characterize multiply warped product manifolds with ϕRic-vector fields. We give the necessary and sufficient conditions for the lift of a vector field on a factor manifold to be the ϕRic-vector field.
Moctar Traore, Ameth Ndiaye, Mansour Sane   +2 more
doaj   +1 more source

Conharmonically flat and conharmonically symmetric warped product manifolds

AIP Advances
This article presents characterizations of warped product manifolds based on the flatness and symmetry of the conharmonic curvature tensor. It is proved that when a warped product manifold is conharmonically flat, both the base and fiber manifolds ...
Abdallah Abdelhameed Syied, Uday Chand De, Nasser Bin Turki   +2 more
doaj   +1 more source

Warped area-minimizing hypersurface and warped product metric

By studying the warped(or weighted) area-minimizing hypersurface, we prove that the metric can be locally split as a warped product metric under the spectral Ricci or spectral scalar curvature lower bound condition.
openaire   +2 more sources

Lie triple systems and warped products.

Rendiconti di Matematica e delle Sue Applicazioni, 2001
Let \((M = B \times F, g_{\omega} = g_B + \omega^2 g_F)\) be a warped product, with \(\omega: B \to \mathbb R^+\) a function, \(g_B\) a Riemannian metric on the manifold \(B\) and \(g_F\) a Riemannian metric on the manifold \(F\). In the present paper the authors study the conditions ensuring that \((M, g_{\omega})\) is locally symmetric. Let \(\Omega\)
Marco Bertola, Daniele Gouthier
openaire   +2 more sources