Spectrum and holonomy of the line bundle over the sphere

DOI10.1007/BF01174183zbMath0538.53039OpenAlexW2044850211MaRDI QIDQ793350

Ruishi Kuwabara

Publication date: 1984

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/173505

zbMATH Keywords

spectrumholonomyclosed geodesiclinear connectionBochner-LaplacianHermitian line bundle

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Relations of PDEs with special manifold structures (Riemannian, Finsler, etc.) (58J60) Connections (general theory) (53C05)

Related Items (3)

Band Asymptotics for Operators of Dirac Type onSⁿ ⋮ Asymptotic behavior of the spectrum of a pseudodifferential operator with periodic bicharacteristics ⋮ Spectrum of the Schrödinger operator on a line bundle over complex projective spaces

Cites Work

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• Some spectral results for the Laplace operator with potential on the n- sphere
• Some spectral results on rank one symmetric spaces
• Sur le spectre des opérateurs elliptiques à bicaracteristiques toutes périodiques
• Asymptotics of eigenvalue clusters for the Laplacian plus a potential
• Spectre conjoint d'opérateurs pseudo-différentiels qui commutent. I: Le cas non intégrable

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