The first eigenvalue of homogeneous minimal hypersurfaces in a unit sphere \(S^{n+1}(1)\)

DOI10.2748/tmj/1178228592zbMath0578.53043OpenAlexW1974489521MaRDI QIDQ1066486

Motoko Kotani

Publication date: 1985

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178228592

zbMATH Keywords

Laplacianprincipal curvaturesfirst eigenvalueshomogeneous minimal hypersurfaces

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

The first eigenvalue of the Laplacian of an isoparametric minimal hypersurface in a unit sphere, Isoparametric foliation and Yau conjecture on the first eigenvalue. II., On Lagrangian submanifolds in complex hyperquadrics and isoparametric hypersurfaces in spheres

Cites Work

• Homogeneous minimal hypersurfaces in the unit spheres and the first eigenvalues of their Laplacian
• On some types of isoparametric hypersurfaces in spheres. II
• Minimal immersions of Riemannian manifolds
• Minimal submanifolds of low cohomogeneity
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