Conformal deformation to prescribed scalar curvature on complete noncompact Riemannian manifolds with nonpositive curvature

DOI10.2748/tmj/1178225917zbMath0806.53038OpenAlexW2063766258WikidataQ115227254 ScholiaQ115227254MaRDI QIDQ685326

Shin Kato

Publication date: 19 February 1995

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178225917

zbMATH Keywords

conformal metricprescribed scalar curvatureconformal deformationpinched sectional curvature

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Global Riemannian geometry, including pinching (53C20)

Related Items (1)

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

Cites Work

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• Function theory on manifolds which possess a pole
• A note on bounded positive entire solutions of semilinear elliptic equations
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• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• On the elliptic equation \(\Delta \omega + K(x)e^{2\omega} = 0\) and conformal metrics with prescribed Gaussian curvatures
• Scalar curvature and conformal deformation of Riemannian structure
• Curvature functions for open 2-manifolds
• Curvature functions for compact 2-manifolds
• An Extension of Schwarz's Lemma

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