Results 71 to 80 of about 5,816,652 (357)
The geometry of warped product singularities [PDF]
International Journal of Geometric Methods in Modern Physics, 2017 In this article, the degenerate warped products of singular semi-Riemannian manifolds are studied. They were used recently by the author to handle singularities occurring in General Relativity, in black holes and at the big-bang. One main result presented here is that a degenerate warped product of semi-regular semi-Riemannian manifolds with the ...
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Einstein Hypersurfaces of Warped Product Spaces
Results in Mathematics, 2022 We consider Einstein hypersurfaces of warped products $I\times_ω\mathbb Q_ε^n,$ where $I\subset\mathbb R$ is an open interval and $\mathbb Q_ε^n$ is the simply connected space form of dimension $n\ge 2$ and constant sectional curvature $ε\in\{-1,0,1\}.$ We show that, for all $c\in\mathbb R$ (resp.
R. F. de Lima +2 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2015 In this paper, by supposing a natural comparison inequality on the positive r-th mean curvatures of the hypersurface, we obtain some new Bernstein-type theorems for complete spacelike hypersurfaces immersed in a semi-Riemannian warped product of constant
Wang Yaning, Liu Ximin
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A remark on Einstein warped products [PDF]
Pacific Journal of Mathematics, 2011 We prove triviality results for Einstein warped products with non-compact bases. These extend previous work by D.-S. Kim and Y.-H. Kim. The proof, from the viewpoint of "quasi-Einstein manifolds" introduced by J. Case, Y.-S. Shu and G. Wei, rely on maximum principles at infinity and Liouville-type theorems.
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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 fundamental form.
Al-Solamy, Falleh R., Khan, Meraj Ali
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On Warped Product Pointwise Pseudo-Slant Submanifolds of LCK-Manifolds and Their Applications
AxiomsThe concept of pointwise slant submanifolds of a Kähler manifold was presented by Chen and Garay. This research extends this notion to a more general setting, specifically in a locally conformal Kähler manifold. We study the pointwise pseudo-slant warped
Fatimah Alghamdi
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Warping functions of some warped products
Journal of Mathematical Analysis and Applications, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Generic warped products in locally product Riemannian manifolds
, 2019 In this paper, we introduce a new class of warped products, called generic warped product submanifolds in locally product Riemannian manifolds with pointwise slant fiber.
S. Uddin +2 more
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Entanglement entropy in internal spaces and Ryu-Takayanagi surfaces
Journal of High Energy Physics, 2023 We study minimum area surfaces associated with a region, R, of an internal space. For example, for a warped product involving an asymptotically AdS space and an internal space K, the region R lies in K and the surface ends on ∂R.
Sumit R. Das +5 more
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The Mixed Scalar Curvature of a Twisted Product Riemannian Manifolds and Projective Submersions
Mathematics, 2019 In the present paper, we study twisted and warped products of Riemannian manifolds. As an application, we consider projective submersions of Riemannian manifolds, since any Riemannian manifold admitting a projective submersion is necessarily a twisted ...
Vladimir Rovenski +2 more
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