Results 331 to 340 of about 693,970 (340)
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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 positive scalar curvature on S 2
Calculus of Variations and Partial Differential Equations, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Gap Extremality for Scalar Curvature
The Journal of Geometric AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yukai, Wang, Changliang
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Total Mean Curvature, Scalar Curvature, and a Variational Analog of Brown–York Mass
, 2016We study the supremum of the total mean curvature on the boundary of compact, mean-convex 3-manifolds with nonnegative scalar curvature, and a prescribed boundary metric.
Christos Mantoulidis, P. Miao
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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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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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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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The scalar curvature equation on
Nonlinear Analysis: Theory, Methods & Applications, 2001E.S. Noussair, Shusen Yan
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