Results 51 to 60 of about 30,041 (97)
Extensions and fill-ins with nonnegative scalar curvature
, 2013 Motivated by the quasi-local mass problem in general relativity, we apply the asymptotically flat extensions, constructed by Shi and Tam in the proof of the positivity of the Brown--York mass, to study a fill-in problem of realizing geometric data on a 2-
Jauregui, Jeffrey +2 more
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Doubling the equatorial for the prescribed scalar curvature problem on ${\mathbb{S}}^N$ [PDF]
, 2022 Lipeng Duan, Monica Musso, Suting Wei
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Prescribing Scalar Curvature on Sn and Related Problems, Part I
Journal of Differential Equations, 1995 AbstractLet (Sn, g0) be the standard n-sphere. The following question was raised by L. Nirenberg. Which function K(x) on S2 is the Gauss curvature of a metric g on S2 conformally equivalent to g0? Naturally one may ask a similar question in higher dimensional case, namely, which function K(x) on Sn is the scalar curvature of a metric g on Sn ...
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Prescribing integral curvature equation [PDF]
, 2015 In this paper we formulate new curvature functions on $\mathbb{S}^n$ via integral operators. For certain even orders, these curvature functions are equivalent to the classic curvature functions defined via differential operators, but not for all even ...
Zhu, Meijun
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On the existence of solutions of prescribing scalar curvature problem
Tsukuba Journal of Mathematics, 2000 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Conformal metrics of prescribed scalar curvature on 4-manifolds: the degree zero case
Arabian Journal of Mathematics, 2017 In this paper, we consider the problem of existence and multiplicity of conformal metrics on a Riemannian compact 4-dimensional manifold (M4,g0)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage ...
M. Ahmedou, H. Chtioui
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Geometric flows and (some of) their physical applications
, 2005 The geometric evolution equations provide new ways to address a variety of non-linear problems in Riemannian geometry, and, at the same time, they enjoy numerous physical applications, most notably within the renormalization group analysis of non-linear ...
Bakas, I.
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The Scalar Curvature Problem on the Four Dimensional Half Sphere
, 2003 In this paper, we consider the problem of prescribing the scalar curvature under minimal boundary conditions on the standard four dimensional half sphere. We provide an Euler-Hopf type criterion for a given function to be a scalar curvature to a metric
Ahmedou, M. Ould +2 more
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Geometric Analysis and General Relativity
, 2005 This article discusses methods of geometric analysis in general relativity, with special focus on the role of "critical surfaces" such as minimal surfaces, marginal surface, maximal surfaces and null surfaces.Comment: to appear in Elsevier Encyclopedia ...
Andersson, Lars
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The Prescribed Ricci Curvature Problem on Homogeneous Spaces with Intermediate Subgroups
, 2017 Consider a compact Lie group $G$ and a closed subgroup $H0$ such that the Ricci curvature of $g$ equals $cT$ for a given $T\in\mathcal M$. This condition is also necessary if the isotropy representation of $M$ splits into two inequivalent irreducible ...
Gould, Mark, Pulemotov, Artem
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