Spectral geometry of closed minimal submanifolds in a space form, real or complex

DOI10.2996/kmj/1138036194zbMath0441.53036OpenAlexW1985944751MaRDI QIDQ1143024

Takuichi Hasegawa

Publication date: 1980

Published in: Kodai Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2996/kmj/1138036194

zbMATH Keywords

spectral geometryspace of constant curvaturespectral invariantsclosed minimal submanifoldsfirst eigenvalue of the Jacobi operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Global submanifolds (53C40) Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics (53C50) Global Riemannian geometry, including pinching (53C20)

Related Items

On spectral characterizations of minimal hypersurfaces in a sphere ⋮ The spectral geometry of harmonic maps into \(HP^n(c)\) ⋮ On spectral characterizations of Willmore hypersurfaces in a sphere ⋮ Euclidean submanifolds with Jacobi mean curvature vector field ⋮ Spectral geometry for Riemannian foliations ⋮ Spectral decomposition of spherical immersions with respect to the Jacobi operator ⋮ Spectral geometry of the Jacobi operator of totally real submanifolds in \(Q\mathbb{P}^n\) ⋮ Homogeneous minimal hypersurfaces in the unit spheres and the first eigenvalues of their Laplacian

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