Article Dans Une Revue Archiv der Mathematik Année : 2015

LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON SUBMANIFOLDS

Résumé

We prove lower bounds for the eigenvalues of the Spin c Dirac operator on submanifolds. These estimates are expressed in terms of extrinsic and intrinsic quanti-ties. We also give estimates involving the Energy-Momentum tensor as well as conformal bounds. The limiting cases of these estimates give rise to particular spinor fields, called generalized twisted Killing spinors, which are also studied.

Fichier principal
Vignette du fichier
Eigenvalues-submanifolds.pdf (235.13 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-01112320 , version 1 (02-02-2015)

Licence

Identifiants

  • HAL Id : hal-01112320 , version 1

Citer

Roger Nakad, Julien Roth. LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON SUBMANIFOLDS. Archiv der Mathematik, 2015, 104 (5), pp.451-461. ⟨hal-01112320⟩
121 Consultations
273 Téléchargements

Partager

  • More