Monotonicity of the Yamabe invariant under connect sum over the boundary

DOI10.1007/s10455-008-9125-9zbMath1168.53022OpenAlexW2038211015MaRDI QIDQ1024789

Fernando Schwartz

Publication date: 17 June 2009

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10455-008-9125-9

zbMATH Keywords

manifold with boundarypositive scalar curvatureYamabe invarianthandlebodies

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20) Surgery and handlebodies (57R65) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (4)

Smooth Yamabe invariant with boundary ⋮ Free boundary hypersurfaces with non-positive Yamabe invariant in mean convex manifolds ⋮ Relative Yamabe invariant and \(c\)-concordant metrics ⋮ Critical metrics and curvature of metrics with unit volume or unit area of the boundary

Cites Work

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• Scalar curvature of a metric with unit volume
• Conformal deformation of a Riemannian metric to a scalar flat metric with constant mean curvature on the boundary
• A direct approach to the determination of Gaussian and scalar curvature functions
• Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
• A generalization of the Yamabe flow for manifolds with boundary.
• The relative Yamabe invariant
• Conformal deformations to scalar-flat metrics with constant mean curvature on the boundary
• Existence results for the Yamabe problem on manifolds with boundary
• Conformal deformation of a Riemannian metric to a constant scalar curvature metric with constant mean curvature on the boundary

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