Results 21 to 30 of about 5,140,777 (272)

On the causal properties of warped product spacetimes [PDF]

Classical and Quantum Gravity, 2007
22 pages, 2 figures, uses the package ...
E. Minguzzi
openalex   +4 more sources

Multiply Warped Products with Non-Smooth Metrics [PDF]

Journal of mathematical physics Vol. 41, No.12, December 2000 pp 8163-8169, 2002
In this article we study manifolds with $C^{0}$-metrics and properties of Lorentzian multiply warped products. We represent the interior Schwarzschild space-time as a multiply warped product space-time with warping functions and we also investigate the ...
Beem J. K., Choquet-Bruhat Y., Jaedong Choi, Smoller J., Taub A. H., Taub A. H.   +5 more
core   +2 more sources

The Weyl problem in warped product spaces

Journal of Differential Geometry, 2020
In this paper, we discuss the Weyl problem in warped product spaces. We apply the method of continuity and prove the openness of the Weyl problem. A counterexample is constructed to show that the isometric embedding of the sphere with canonical metric is
Chunhe Li, Zhizhang Wang
semanticscholar   +5 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

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   +4 more sources

Eigenvalues of the Laplacian of Warped Product [PDF]

Tokyo Journal of Mathematics, 1980
Kazumi Tsukada
openalex   +4 more sources

Warped products with a Tripathi connection [PDF]

arXiv, 2017
The warped product $M_1 \times_F M_2$ of two Riemannian manifolds $(M_1,g_1)$ and $(M_2,g_2)$ is the product manifold $M_1 \times M_2$ equipped with the warped product metric $g=g_1 + F^2 g_2$, where $F$ is a positive function on $M_1$. The notion of warped product manifolds is one of the most fruitful generalizations of Riemannian products.
Diallo, Abdoul Salam, Massamba, Fortuné, Mbatakou, Salomon Joseph   +2 more
openaire   +3 more sources

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

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

Stability for Serrin’s Problem and Alexandroff’s Theorem in Warped Product Manifolds [PDF]

International mathematics research notices, 2022
We prove quantitative versions for several results from geometric partial differential equations. Firstly, we obtain a double stability theorem for Serrin’s overdetermined problem in spaceforms.
Julian Scheuer, C. Xia
semanticscholar   +1 more source