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.
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