Results 41 to 50 of about 39,041 (325)
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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Differential Geometry and its Applications, 2001 The author studies the completeness of Lorentzian doubly warped products with metrics of the form \(-f^2 dt^2\oplus b^2g_F\) for positive functions \(f\) on a Riemannian manifold \(F\), \(b\) on an interval \((c,d)\).
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Sequential Warped Products: Curvature and Killing Vector Fields
, 2019 In this note, we introduce a new type of warped products called as sequential warped products to cover a wider variety of exact solutions to Einstein's equation. First, we study the geometry of sequential warped products and obtain covariant derivatives,
De, Uday Chand +2 more
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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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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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Multiply Warped Products with Non-Smooth Metrics
, 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. +5 more
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Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2020 Summary: 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 sufficient condition for a doubly warped product to be a warped or a direct product.
Aydın, Sibel Gerdan +1 more
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On warped product gradient Yamabe solitons [PDF]
Journal of Mathematical Analysis and Applications, 2019 14 pages, 1 ...
W. Tokura +3 more
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On Bernstein-Type Theorems in Semi-Riemannian Warped Products
Advances in Mathematical Physics, 2013 Complete spacelike hypersurfaces immersed in semi-Riemannian warped products are investigated. By using a technique according to Yau (1976) and a reasonable restriction on the mean curvature of the hypersurfaces, we obtain some new Bernstein-type ...
Wenjie Wang, Ximin Liu
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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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