SOME COMPACTNESS RESULTS RELATED TO SCALAR CURVATURE DEFORMATION

DOI10.1142/S0219199707002356zbMath1142.53031arXivmath/0602636OpenAlexW2962894111WikidataQ125630098 ScholiaQ125630098MaRDI QIDQ3444874

Yu Yan

Publication date: 5 June 2007

Published in: Communications in Contemporary Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0602636

zbMATH Keywords

scalar curvatureuniform estimatesconformal deformation

Mathematics Subject Classification ID

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

Cites Work

• Conformal metrics with prescribed scalar curvature
• A priori estimates for prescribing scalar curvature equations
• Elliptic partial differential equations of second order
• Prescribing scalar curvature on \(\mathbb{S}^ n\) and related problems. I
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• Liouville theorems on some indefinite equations
• Estimates of the conformal scalar curvature equation via the method of moving planes
• YAMABE TYPE EQUATIONS ON THREE DIMENSIONAL RIEMANNIAN MANIFOLDS

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