On spectral geometry of minimal parallel submanifolds

DOI10.1007/BF02843920zbMath1008.58021OpenAlexW2023751375MaRDI QIDQ1851421

Giovanni Calvaruso, Domenico Perrone

Publication date: 17 December 2002

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02843920

zbMATH Keywords

isospectral problemClifford toritotally real minimal submanifolds

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Cites Work

• On spectral geometry of Kähler submanifolds
• Spectral geometry of Kaehler submanifolds of a complex projective space
• Isospectral and non-isometric Riemannian manifolds
• Totally real parallel submanifolds in \(P^ n(\)c)
• On spectral characterizations of minimal hypersurfaces in a sphere
• \(n\)-dimensional totally real minimal submanifolds of \(CP^ n\)
• The rigidity of Clifford torus \(S^ 1(\sqrt{\frac1n})\times S^{n-1}(\sqrt{\frac{n-1}n})\)
• On the spectral rigidity of Hopf manifolds
• Local rigidity theorems for minimal hypersurfaces
• Curvature and the eigenvalues of the Laplacian
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• On eigen-values of Laplacian and curvature of Riemannian manifold
• Eigenvalues of the Laplacian of Riemannian manifolds
• On the Spectral Rigidity of CP n
• Totally Real Minimal Submanifolds in a Complex Projective Space
• On Totally Real Submanifolds
• Minimal Submanifolds of a Sphere with Second Fundamental Form of Constant Length