Remarques sur le spectre de l'opérateur de Dirac

Remarks on the spectrum of the Dirac operator

  • Nous décrivons un nouvelle famille d'exemples d'hypersurfaces de la sphère satisfaisant le cas d'égalité de la majoration extrinsèque de C. Bär de la plus petite valeur propre de l'opérateur de Dirac.
  • We describe a new family of examples of hypersurfaces in the sphere satisfying the limitingcase in C. Bär's extrinsic upper bound for the smallest eigenvalue of the Dirac operator.

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Metadaten
Author details:Nicolas Ginoux
URN:urn:nbn:de:kobv:517-opus-5630
Publication type:Postprint
Language:French
Publication year:2003
Publishing institution:Universität Potsdam
Release date:2005/08/10
Tag:1st Eigenvalue; Bounds; Space; Submanifolds
Source:Comptes Rendus de l'Academie des Sciences de Paris, Serie I. - 337 (2003), S. 53 - 56
RVK - Regensburg classification:SK 620
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
DDC classification:5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik
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