Metrics of constant scalar curvature conformal to Riemannian products
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Publication:3581111
DOI10.1090/S0002-9939-10-10293-7zbMath1206.53042arXiv0812.4328OpenAlexW2016551758WikidataQ115290080 ScholiaQ115290080MaRDI QIDQ3581111
Publication date: 16 August 2010
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/0812.4328
Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (21)
Metrics of constant scalar curvature on sphere bundles ⋮ Bifurcation of metrics with null scalar curvature and constant mean curvature on the boundary of compact manifolds ⋮ Bifurcation for the constant scalar curvature equation and harmonic Riemannian submersions ⋮ Multipeak solutions for the Yamabe equation ⋮ Multiplicity of solutions to the Yamabe equation on warped products ⋮ Multiplicity of constant scalar curvature metrics in \(\mathbb{T}^k \times M\) ⋮ Nonuniqueness for a fully nonlinear boundary Yamabe-type problem via bifurcation theory ⋮ A variational analysis of the spinorial Yamabe equation on product manifolds ⋮ On bifurcation of solutions of the Yamabe problem in product manifolds ⋮ Invariant solutions of the Yamabe equation on the Koiso-Cao soliton ⋮ Global bifurcation techniques for Yamabe type equations on Riemannian manifolds ⋮ Degenerate solutions of a nonlinear elliptic equation on the sphere ⋮ Multiplicity results for the Yamabe equation by Lusternik-Schnirelmann theory ⋮ A note on solutions of Yamabe-type equations on products of spheres ⋮ Elliptic equations with critical exponent on a torus invariant region of 𝕊3 ⋮ The conformal Yamabe constant of product manifolds ⋮ Uniqueness of solutions of the Yamabe problem on manifolds with boundary ⋮ Solutions of the Yamabe equation by Lyapunov-Schmidt reduction ⋮ Global bifurcation for a class of nonlinear ODEs ⋮ A note on the uniqueness of solutions for the Yamabe problem ⋮ Nodal solutions of Yamabe-type equations on positive Ricci curvature manifolds
Cites Work
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- Symmetry and related properties via the maximum principle
- Equations différentielles non linéaires et problème de Yamabe concernant la courbure scalaire
- Nonuniqueness and high energy solutions for a conformally invariant scalar equation
- The conjectures on conformal transformations of Riemannian manifolds
- Blow-up phenomena for the Yamabe equation
- Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
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