Conformal deformation of warped products and scalar curvature functions on open manifolds

DOI10.1016/S0007-4497(98)80342-4zbMath0933.53021arXivdg-ga/9604001MaRDI QIDQ1266200

Man-Chun Leung

Publication date: 7 September 1998

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/dg-ga/9604001

zbMATH Keywords

scalar curvatureYamabe problemconformal deformation

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Partial differential equations on semi-Riemannian manifolds ⋮ Scalar curvature and the multiconformal class of a direct product Riemannian manifold ⋮ Curvature in special base conformal warped products ⋮ THE EXISTENCE OF SOME METRICS ON RIEMANNIAN WARPED PRODUCT MANIFOLDS WITH FIBER MANIFOLD OF CLASS (B)

Cites Work

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• Conformal deformation to constant negative scalar curvature on noncompact Riemannian manifolds
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Scalar curvature and conformal deformation of hyperbolic space
• Scalar Curvature and Warped Products of Riemann Manifolds
• Negative Scalar Curvature Metrics on Noncompact Manifolds
• Conformal scalar curvature equations on complete manifolds

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