Upper bounds of small eigenvalues of the Dirac operator and isometric immersions

DOI10.1007/BF00776850zbMath0698.53025OpenAlexW1989315449MaRDI QIDQ912404

Ulrich Bunke

Publication date: 1991

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00776850

zbMATH Keywords

eigenvaluesRiemannian manifoldspectrumDirac operatorspin manifoldcomplex projective spaceisometric immersionminimal immersionisometric holomorphic immersion

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Applications of PDEs on manifolds (58J90) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

Related Items (2)

Inequalities of eigenvalues for the Dirac operator on compact complex spin submanifolds in complex projective spaces ⋮ Extrinsic estimates for eigenvalues of the Dirac operator

Cites Work

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• An upper bound for the first eigenvalue of the Dirac operator on compact spin manifolds
• Zur harmonischen Analyse der Paare (SO(n),SO(k)×SO(n-k)) und (SP(n),SP(k)×SP (n-k))

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