Conformally bending three-manifolds with boundary

DOI10.5802/aif.2613zbMath1239.53047OpenAlexW2322197773WikidataQ125289573 ScholiaQ125289573MaRDI QIDQ717804

Jeffrey Streets, Matthew J. Gursky, Micah W. Warren

Publication date: 6 October 2011

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_2010__60_7_2421_0/

zbMATH Keywords

scalar curvaturemanifold with boundaryalmost negative curvatureconformal bendingpinching of sectional curvature

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

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• Existence of complete conformal metrics of negative Ricci curvature on manifolds with boundary
• Complete conformal metrics with negative scalar curvature in compact Riemannian manifolds
• Negative bending of open manifolds
• BOUNDEDLY NONHOMOGENEOUS ELLIPTIC AND PARABOLIC EQUATIONS IN A DOMAIN
• Classical solutions of fully nonlinear, convex, second-order elliptic equations

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