Scalar curvature on noncompact complete Riemannian manifolds

DOI10.1016/0362-546X(95)00051-VzbMath0858.53029WikidataQ115363513 ScholiaQ115363513MaRDI QIDQ4886591

Seongtag Kim

Publication date: 10 March 1997

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

zbMATH Keywords

scalar curvaturecritical exponentYamabe problemnonlinear elliptic equationsnoncompact manifold

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20) Variational methods for higher-order elliptic equations (35J35)

Related Items (4)

Isometry-invariant solutions to a critical problem on non-compact Riemannian manifolds ⋮ Results on the existence of the Yamabe minimizer of \(M^m \times \mathbb R^n\) ⋮ The Yamabe constant on noncompact manifolds ⋮ Yamabe equation on some complete noncompact manifolds

Cites Work

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• The concentration-compactness principle in the calculus of variations. The locally compact case. II
• The concentration-compactness principle in the calculus of variations. The limit case. II
• Conformal deformation of a Riemannian metric to constant scalar curvature
• Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds
• Conformally flat manifolds, Kleinian groups and scalar curvature
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• Métriques riemanniennes et courbure
• A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
• The Yamabe problem

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