Homogeneous minimal hypersurfaces in the unit spheres and the first eigenvalues of their Laplacian
From MaRDI portal
Publication:787117
DOI10.2748/tmj/1178228851zbMath0528.53048OpenAlexW1965938432MaRDI QIDQ787117
Hideo Muto, Hajime Urakawa, Yoshihiro Ohnita
Publication date: 1984
Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.2748/tmj/1178228851
Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)
Related Items (6)
Isoparametric hypersurfaces in spheres, integrable nondiagonalizable systems of hydrodynamic type, and \(N\)-wave systems ⋮ An eigenvalue pinching theorem for compact hypersurfaces in a sphere ⋮ Upper bound for the second eigenvalue of a Schrödinger operator on a compact manifold and applications ⋮ Laplacian eigenvalue functionals and metric deformations on compact manifolds ⋮ Isoparametric foliation and Yau conjecture on the first eigenvalue. II. ⋮ The first eigenvalue of homogeneous minimal hypersurfaces in a unit sphere \(S^{n+1}(1)\)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Isoparametrische Hyperflächen in Sphären. I
- Isoparametrische Hyperflächen in Sphären. II: Über die Zerlegung der Sphäre in Ballbündel
- Spectral geometry of closed minimal submanifolds in a space form, real or complex
- On the least positive eigenvalue of Laplacian for compact homogeneous spaces
- Minimal immersions of Riemannian manifolds
- Minimal imbeddings of R-spaces
- Minimal varieties in Riemannian manifolds
- Minimal submanifolds of low cohomogeneity
- Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
- SPECTRA OF FLAG MANIFOLDS
This page was built for publication: Homogeneous minimal hypersurfaces in the unit spheres and the first eigenvalues of their Laplacian
