LOWER BOUNDS FOR THE EIGENVALUES OF THE Spin c DIRAC OPERATOR ON SUBMANIFOLDS - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Archiv der Mathematik Année : 2015

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

Roger Nakad
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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.
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Dates et versions

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

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  • 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⟩
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