no. 4
Differential geometry
Lower bounds for the eigenvalues of the Spinc Dirac operator on manifolds with boundary
[Minorations des valeurs propres de l'opérateur de Dirac sur les variétés Spinc à bord]

Présenté par : the Editorial Board

Nakad, Roger1 ; Roth, Julien2
1 Notre Dame University-Louaize, Faculty of Natural and Applied Sciences, Department of Mathematics and Statistics, P. O. Box 72, Zouk Mikael, Lebanon
2 LAMA, Université Paris-Est Marne-la-Vallée, Cité Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France
Comptes Rendus. Mathématique, Tome 354 (2016) no. 4, pp. 425-431.

Nous étendons l'inégalité de Friedrich pour les valeurs propres de l'opérateur de Dirac sur les variétés Spinc à bord pour différentes conditions à bord. Le cas limite est étudié et des exemples sont donnés.

We extend the Friedrich inequality for the eigenvalues of the Dirac operator on Spinc manifolds with boundary under different boundary conditions. The limiting case is then studied and examples are given.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2015.12.017
Nakad, Roger 1 ; Roth, Julien 2

1 Notre Dame University-Louaize, Faculty of Natural and Applied Sciences, Department of Mathematics and Statistics, P. O. Box 72, Zouk Mikael, Lebanon
2 LAMA, Université Paris-Est Marne-la-Vallée, Cité Descartes, Champs-sur-Marne, 77454 Marne-la-Vallée cedex 2, France 
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Nakad, Roger; Roth, Julien. Lower bounds for the eigenvalues of the Spinc Dirac operator on manifolds with boundary. Comptes Rendus. Mathématique, Tome 354 (2016) no. 4, pp. 425-431. doi : 10.1016/j.crma.2015.12.017. http://www.numdam.org/articles/10.1016/j.crma.2015.12.017/

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