Results 21 to 30 of about 5,816,652 (357)

Killing and 2-Killing Vector Fields on Doubly Warped Products

Mathematics, 2023
We provide a condition for a 2-Killing vector field on a compact Riemannian manifold to be Killing and apply the result to doubly warped product manifolds.
Adara M. Blaga, Cihan Özgür
doaj   +2 more sources

Curvature of multiply warped products [PDF]

Journal of Geometry and Physics, 2005
In this paper, we study Ricci-flat and Einstein-Lorentzian multiply warped products. We also consider the case of having constant scalar curvatures for this class of warped products.
Dobarro, F, Ünal, B, Ünal, Bernis
core   +3 more sources

Warped products in Riemannian manifolds [PDF]

Bulletin of the Australian Mathematical Society, 2014
In this paper we prove two inequalities relating the warping function to various curvature terms, for warped products isometrically immersed in Riemannian manifolds. This extends work by B. Y. Chen [‘On isometric minimal immersions from warped products
Park, K. S.
core   +3 more sources

Multiply warped products with compact Einstein manifolds [PDF]

, 2020
We study multiply warped products with compact Einstein manifolds. We obtain that there does not exist connected, compact Einstein multiply warped products if the scalar curvature is non-positive.
Karaca, Fatma
core   +2 more sources

ON DOUBLY WARPED PRODUCTS

Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020
We give a new characterization for doubly warped products by using the geometry of their canonical foliations intersecting perpendicularly. We also give a necessary and su¢ cient condition for a doubly warped product to be a warped or a direct product.
Taştan, Hakan Mete, Gerdan Aydın, Sibel   +1 more
core   +6 more sources

On Douglas Warped Product Metrics [PDF]

Results in Mathematics, 2022
Corrections on Theorem 2 and ...
Newton Mayer Solórzano Chávez
openalex   +3 more sources

DOUBLY WARPED PRODUCTS IN S-SPACE FORMS [PDF]

Romanian Journal of Mathematics and Computer Science, 2014
Recently, the author established a general inequality for doubly warped products in arbitrary Riemannian manifolds [14]. In the present paper, we obtain a similar inequality for doubly warped products isometrically immersed in S-space forms.
Andreea Olteanu
doaj   +1 more source

Singularity theorems for warped products and the stability of spatial extra dimensions [PDF]

Journal of High Energy Physics, 2019
New singularity theorems are derived for generic warped-product spacetimes of any dimension. The main purpose is to analyze the stability of (compact or large) extra dimensions against dynamical perturbations.
Nastassja Cipriani, José M. M. Senovilla   +1 more
doaj   +2 more sources

Pointwise hemi-slant warped product submanifolds in nearly Kaehler manifolds [PDF]

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
In this paper, we introduce the notion of pointwise hemi-slant sub-manifolds of nearly Kaehler manifolds. Further, we study their warped products and prove the necessary and sufficient condition that a point-wise hemi-slant submanifold to be a warped ...
Alqahtani Lamia Saeed, Uddin Siraj, Bossly Rawan   +2 more
doaj   +2 more sources

Homology groups in CR-warped products of complex space forms [PDF]

Heliyon
In the present paper, by using the result of Lawson-Simons [15], we adopt a different technique to show that there are no stable integral q-currents and a non-trivial homology group in a compact oriented CR-warped product submanifold Nn in a complex ...
Yanlin Li, Akram Ali, Nadia Alluhaibi, Fatemah Mofarreh, Cenap Ozel   +4 more
doaj   +2 more sources