Results 51 to 60 of about 3,286,440 (286)
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
doaj +1 more source
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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Asian Journal of Mathematics, 2015 In this paper we study the space of solutions to an overdetermined linear system involving the Hessian of functions. We show that if the solution space has dimension greater than one, then the underlying manifold has a very rigid warped product structure.
He, Chenxu +2 more
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Killing tensors and warped product [PDF]
Annales Polonici Mathematici, 2000 By a Killing tensor one understands a \((1,1)\)-tensor field \(S\) on a Riemannian manifold \((M,g)\) satisfying the conditions \(\langle SX,Y \rangle =\langle X,S Y\rangle\) and \(\langle\nabla S(X,X),X \rangle=0\), for all \(X\) on \(M\). Considering the eigenvalues and the eigendistributions of \(S\), the author gets close relations between certain ...
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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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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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Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective We aim to comprehensively analyze how regional tumor and edema characteristics are associated with clinical presentations and survival outcomes in a large cohort of glioblastoma patients. Methods Patients with IDH‐wildtype glioblastoma who received brain MRI from 2010 to 2023 were included.
Daniel J. Zhou +16 more
wiley +1 more source
Multiply warped products with compact Einstein manifolds
, 2021 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
, 2022 Warped products play important roles in differential geometry, general relativity, and symmetry science. In this paper, we study the warped product pointwise semi-slant submanifolds that are isometrically immersed into conformal Sasakian space form.
Mehraj Ahmad Lone +4 more
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Diffusion Basis Spectrum Imaging of Tissue Microstructure and Early Treatment in Multiple Sclerosis
Annals of Clinical and Translational Neurology, EarlyView.ABSTRACT Objective Conventional MRI cannot resolve the coexisting pathological processes within multiple sclerosis tissue. Diffusion Basis Spectrum Imaging decomposes the diffusion signal into fiber, cell, and hindered ratios indexing axonal integrity, cellularity, and extracellular space, respectively.
Apisit Kaewsanit +10 more
wiley +1 more source