Une nouvelle estimation extrinsèque du spectre de l'opérateur de Dirac.. (A new extrinsic estimate for the spectrum of the Dirac operator)

DOI10.1016/S1631-073X(03)00206-1zbMath1054.58020arXivmath/0304441OpenAlexW2073958158MaRDI QIDQ1408175

Nicolas Ginoux

Publication date: 15 September 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0304441

zbMATH Keywords

spectrumDirac operator

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Spin and Spin({}^c) geometry (53C27)

Related Items (3)

Total mean curvature and first Dirac eigenvalue ⋮ Remarques sur le spectre de l'opérateur de Dirac. (Remarks on the spectrum of the Dirac operator) ⋮ Dirac operators on Lagrangian submanifolds

Cites Work

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• Complete Riemannian manifolds with imaginary Killing spinors
• Odd-dimensional Riemannian manifolds with imaginary Killing spinors
• Extrinsic upper bounds for \(\lambda _ 1\)
• Lower bounds for eigenvalues of hypersurface Dirac operators
• An inequality of ``Reilly-type for submanifolds of the hyperbolic space
• Extrinsic bounds for eigenvalues of the Dirac operator
• Reilly-type spinorial inequalities
• A new proof of the positive energy theorem.
• A spinorial approach to Riemannian and conformal geometry
• Eigenvalue estimates for the Dirac-Schröder operators

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