The Harmonic Analysis of Cubic Isoparametric Minimal Hypersurfaces I: Dimensions 3 and 6

DOI10.2307/2374713zbMath0704.53045OpenAlexW2321095540MaRDI QIDQ3483967

Bruce Solomon

Publication date: 1990

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2374713

zbMATH Keywords

Laplace operatorminimal submanifoldsisoparametric hypersurface

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (7)

Spectrum of the Laplacian and the Jacobi operator on rotational CMC hypersurfaces of spheres ⋮ Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems ⋮ New explicit solutions to the \(p\)-Laplace equation based on isoparametric foliations ⋮ A characterization of quadric constant mean curvature hypersurfaces of spheres ⋮ Upper bounds for the spectral function on homogeneous spaces via volume growth ⋮ Isoparametric foliation and Yau conjecture on the first eigenvalue. II. ⋮ On the heat content functional and its critical domains

This page was built for publication: The Harmonic Analysis of Cubic Isoparametric Minimal Hypersurfaces I: Dimensions 3 and 6