Concepedia

Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds

Journal of Differential Geometry · 1988 · 105 citations · 8 references

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Concepts

Courbure Scalaire S~≡−1Conformal DeformationGlobal GeometryRiemann-hilbert ProblemGeometryRiemannian GeometryEst Une VarieteNegative Scalar CurvatureCourbure ScalaireGlobal AnalysisRiemannian ManifoldFunctional AnalysisNoncompact Riemannian ManifoldsRicci Flow

Abstract

Si (M, g) est une variete de Riemann complete de courbure scalaire non positive S satisfaisant S(x)≤−e<0 pour x∈M/M 0 , ou M 0 est un ensemble compact, alors il y a une metrique conforme complete g~ de courbure scalaire S~≡−1

References

8

Conformal deformation of a Riemannian metric to constant scalar curvature

Richard Schoen · Journal of Differential Geometry · 1984 · 1.3K citations · Full text

Conformal Deformation, Global Geometry, Geometric Partial Differential Equation +6

An extension of E. Hopf’s maximum principle with an application to Riemannian geometry

Eugenio Calabi · Duke Mathematical Journal · 1958 · 319 citations

Global Geometry, Geometric Partial Differential Equation, Geometry +5

On some regular multiple integral problems in the calculus of variations

Guido Stampacchia · Communications on Pure and Applied Mathematics · 1963 · 121 citations

Resolvent Kernel, Variational Analysis, Variational Inequality +2

An elementary method in the study of nonnegative curvature

H. Wu · Acta Mathematica · 1979 · 102 citations · Full text

Conformal deformations of complete manifolds with negative curvature

Patricio Avilés, Robert McOwen · Journal of Differential Geometry · 1985 · 49 citations

Geometry, Riemannian Geometry, Global Analysis +2