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Linear Stability of Schwarzschild-Anti-de Sitter Spacetimes III: Quasimodes and Sharp Decay of Gravitational Perturbations. [PDF]
Commun Math PhysGraf O, Holzegel G.
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On symmetric finsler spaces ofHp-scalar curvature and scalar curvature
Periodica Mathematica Hungarica, 1986A Finsler space \(F_ n\) is said to be of Hp-scalar curvature if \(p\cdot H_{\ell ijr}=k(h_{\ell j} h_{ir}-h_{\ell r} h_{ij})\), where \(H_{\ell ijr}\) is the Berwald h-curvature tensor, p is an operator projecting on the indicatrix, \(h_{ij}\) is the angular metric tensor, and k is the curvature scalar.
A. Ram, B. B. Sinha
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Mathematische Annalen, 1999
The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature ...
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The author considers the generalization of the Gaussian curvature on an \(n\)-dimensional Riemannian manifold and the question of the deformation, i.e., the increase/decrease, of the scalar curvature which he calls the ``hammock effect''. Contents include the following sections: an introduction; singular conformal deformations; hammocks; curvature ...
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On the P-Scalar Curvature [PDF]
The Journal of Geometric Analysis, 2016 We study the P-scalar curvature operator used by Perelman in the context of manifolds with density. We verify that the Gromov–Lawson surgery for positive scalar curvature extends naturally to positive P-scalar curvature. By studying the first variation of the P-scalar curvature operator, we obtain local perturbation results for the P-scalar curvature ...
Farhan Abedin, Justin Corvino
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1976
We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others.
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We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others.
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On the scalar curvature of compact hypersurfaces
Archiv der Mathematik, 1999In the paper under review, by using the method of integral formulas, the authors prove the following: Let \(M\) be a compact and connected hypersurface in the Euclidean space \(\mathbb{R} ^{n+1}\) with scalar curvature \(\tau\). If \(p^2 \tau \leq 1\), where \(p\) is the support function with respect to a point \(p _0\) in \(\mathbb{R} ^{n+1}\), then \(
S. L. Silva, Francisco Fontenele
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Annals of Global Analysis and Geometry, 1992
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Prescribed Scalar Curvature [PDF]
, 1998 Let (M n , g) be a C ∞ Riemannian manifold of dimension n ≥ 2. Given f a smooth function on M n , the Problem is: Does there exist a metric g′ on M such that the scalar curvature R′ of g′ is equal to f ?
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