Generalized Killing Spinors and Conformal Eigenvalue Estimates for Spin^c Manifolds

Abstract : In this paper we prove the Spin^c analog of the Hijazi inequality on the first eigenvalue of the Dirac operator on compact Riemannian manifolds and study its equality case. During this study, we are naturally led to consider generalized Killing spinors on Spin^c manifolds and we prove that such objects can only exist on low-dimensional manifolds (up to dimension three). This allows us to give a nice geometrical description of the manifolds satisfying the equality case of the above-mentioned inequality and to classify them in dimension three and four.
Document type :
Journal articles
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00125994
Contributor : Andrei Moroianu <>
Submitted on : Tuesday, January 23, 2007 - 11:43:36 AM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM
Document(s) archivé(s) le : Wednesday, April 7, 2010 - 2:27:47 AM

Files

1999agag.pdf
Files produced by the author(s)

Identifiers

Citation

Marc Herzlich, Andrei Moroianu. Generalized Killing Spinors and Conformal Eigenvalue Estimates for Spin^c Manifolds. Annals of Global Analysis and Geometry, Springer Verlag, 1999, 17, pp.341-370. 〈10.1023/A:1006546915261〉. 〈hal-00125994〉

Share

Metrics

Record views

500

Files downloads

202