# Lower bounds for the eigenvalues of the Dirac operator on $Spin^C$ manifolds

Abstract : In this paper, we extend the Hijazi inequality, involving the Energy-Momentum tensor, for the eigenvalues of the Dirac operator on Spinc manifolds without boundary. The limiting case is then studied and examples are given.
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Cited literature [21 references]

https://hal.archives-ouvertes.fr/hal-00466918
Contributor : Roger Nakad Connect in order to contact the contributor
Submitted on : Tuesday, June 15, 2010 - 10:21:09 AM
Last modification on : Friday, July 9, 2021 - 11:30:37 AM
Long-term archiving on: : Thursday, December 1, 2016 - 4:48:16 AM

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SPINC.pdf
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• HAL Id : hal-00466918, version 2

### Citation

Roger Nakad. Lower bounds for the eigenvalues of the Dirac operator on $Spin^C$ manifolds. 2010. ⟨hal-00466918v2⟩

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