Complete conformal metrics with prescribed scalar curvature on subdomains of a compact manifold

DOI10.1017/S0027763000004694zbMath0806.53037OpenAlexW1913093247MaRDI QIDQ4278770

Shin Nayatani, Shin Kato

Publication date: 19 February 1995

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0027763000004694

zbMATH Keywords

prescribed scalar curvatureYamabe functionalcomplete conformal metric

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Cites Work

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• Scalar curvature and conformal deformation of Riemannian structure
• The Yamabe problem
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• The structure of complete stable minimal surfaces in 3-manifolds of non-negative scalar curvature
• Global and local behavior of positive solutions of nonlinear elliptic equations
• The kaplacian on complete manifolds with warped cylindrical ends

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