Isoparametric hypersurfaces and metrics of constant scalar curvature

DOI10.4310/AJM.2014.v18.n1.a3zbMath1292.53041arXiv1103.0314OpenAlexW2963465201MaRDI QIDQ2017213

Guillermo Henry, Jimmy Petean

Publication date: 25 June 2014

Published in: The Asian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1103.0314

zbMATH Keywords

isoparametric hypersurfacesmultiplicity resultsYamabe equation

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (20)

Metrics of constant scalar curvature on sphere bundles ⋮ Infinitely many solutions to the Yamabe problem on noncompact manifolds ⋮ Isoparametric functions on \(\mathbb{R}^n \times \mathbb{M}^m\) ⋮ 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 ⋮ Isoparametric hypersurfaces with four principal curvatures. IV ⋮ 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 ⋮ Bifurcating solutions of the Lichnerowicz equation ⋮ Supercritical elliptic problems on the round sphere and nodal solutions to the Yamabe problem in projective spaces ⋮ The conformal Yamabe constant of product manifolds ⋮ An ODE reduction method for the semi-Riemannian Yamabe problem on space forms ⋮ Solutions of the Yamabe equation by Lyapunov-Schmidt reduction ⋮ Low energy nodal solutions to the Yamabe equation ⋮ Isoparametric functions and nodal solutions of the Yamabe equation ⋮ Nodal solutions of Yamabe-type equations on positive Ricci curvature manifolds

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