Monopole metrics and the orbifold Yamabe problem

DOI10.5802/aif.2617zbMath1227.53060arXiv1002.2119OpenAlexW2963483888MaRDI QIDQ717808

Jeff A. Viaclovsky

Publication date: 6 October 2011

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

Full work available at URL: https://arxiv.org/abs/1002.2119

zbMATH Keywords

monopole metricsorbifold Yamabe problemconformal classesYamabe minimizers

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (21)

The Weyl functional on 4-manifolds of positive Yamabe invariant ⋮ Non-existence of Yamabe minimizers on singular spheres ⋮ Deformation of LeBrun's ALE metrics with negative mass ⋮ Einstein metrics and Yamabe invariants of weighted projective spaces ⋮ Multiplicity of solutions to a nonlinear elliptic problem on a Riemannian orbifold ⋮ Positive scalar curvature with skeleton singularities ⋮ Long time existence of Yamabe flow on singular spaces with positive Yamabe constant ⋮ Degenerations of LeBrun twistor spaces ⋮ Conformally prescribed scalar curvature on orbifolds ⋮ Convergence of the Yamabe flow on singular spaces with positive Yamabe constant ⋮ Analysis, geometry and topology of singular PDE. Abstracts from the workshop held June 6--12, 2021 (hybrid meeting) ⋮ An Obata singular theorem for stratified spaces ⋮ Computations of the orbifold Yamabe invariant ⋮ The Yamabe problem on stratified spaces ⋮ A conformal integral invariant on Riemannian foliations ⋮ A smörgåsbord of scalar-flat Kähler ALE surfaces ⋮ Critical metrics on connected sums of Einstein four-manifolds ⋮ EXISTENCE AND COMPACTNESS THEORY FOR ALE SCALAR-FLAT KÄHLER SURFACES ⋮ The Yamabe invariant ⋮ The Yamabe invariant of a class of symplectic 4-manifolds ⋮ On Kähler conformal compactifications of \(U(n)\)-invariant ALE spaces

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