Spectral estimates for Schrödinger and Dirac-type operators on Riemannian manifolds

DOI10.1007/BF01459757zbMath0791.58094WikidataQ115393423 ScholiaQ115393423MaRDI QIDQ1322077

Manlio Bordoni

Publication date: 5 May 1994

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

Full work available at URL: https://eudml.org/doc/165192

zbMATH Keywords

Dirac operatorRiemannian submersionscoveringsSchrödingerHodge-de Rhamcomparison of spectralocal quasi-isometries

Mathematics Subject Classification ID

Estimates of eigenvalues in context of PDEs (35P15) Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27) Global Riemannian geometry, including pinching (53C20)

Related Items

The Dirac operator on manifold admitting parallel one-form, The evolution of the Dirac field in curved space-times, The Dirac operator on locally reducible Riemannian manifolds, Spectral estimates of vibration frequencies of anisotropic beams., A new method for eigenvalue estimates for Dirac operators on certain manifolds with \(S^{k}\)-symmetry, Lower bounds for eigenvalues of the Dirac operator on surfaces of rotation, Extrinsic eigenvalue estimates of Dirac operators on Riemannian manifolds, Refined Kato inequalities and conformal weights in Riemannian geometry, Comparing heat operators through local isometries or fibrations, Upper bounds for the first eigenvalue of the Dirac operator on surfaces, Stability of higher order eigenvalues in dimension one

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