Analyse précisée d'équations semi-linéaires elliptiques sur l'espace hyperbolique et application à la courbure scalaire conforme

DOI10.24033/bsmf.2311zbMath0939.53026OpenAlexW2292860957MaRDI QIDQ4381899

Erwann Delay

Publication date: 11 July 2000

Published in: Bulletin de la Société mathématique de France (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=BSMF_1997__125_3_345_0

zbMATH Keywords

semilinear elliptic equationshyperbolic spaceconformal metric

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Degenerate elliptic equations (35J70) Elliptic equations on manifolds, general theory (58J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (5)

Mass rigidity for hyperbolic manifolds ⋮ A definition of total energy-momenta and the positive mass theorem on asymptotically hyperbolic 3-manifolds. I ⋮ The equation of scalar curvature prescription with contraint equations in general relativity on an asymptotical hyperbolic manifold ⋮ Local study of curvature operators on the hyperbolic space ⋮ Ricci curvature in the neighborhood of rank-one symmetric spaces.

Cites Work

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• Conformal deformations of complete manifolds with negative curvature
• Einstein metrics with prescribed conformal infinity on the ball
• Scalar curvature rigidity of asymptotically hyperbolic spin manifolds
• PINCHING THEOREM ON ASYMPTOTICALLY HYPERBOLIC SPACES

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