Formes harmoniques en présence de spineurs de Killing kähleriens

Abstract : We show that the Clifford product between an effective harmonic form and a Kählerian Killing spinor vanishes, which is the Kählerian analogue of Hijazi's result concerning Riemannian Killing spinors. As a corollary, we prove that there is no parallel effective $(p,p)$-form $(p>0)$ on Kähler-Einstein manifolds admitting a complex contact structure.
Document type :
Journal articles
Liste complète des métadonnées

https://hal.archives-ouvertes.fr/hal-00126058
Contributor : Andrei Moroianu <>
Submitted on : Tuesday, January 23, 2007 - 2:59:45 PM
Last modification on : Wednesday, March 27, 2019 - 4:10:22 PM
Document(s) archivé(s) le : Wednesday, April 7, 2010 - 2:29:14 AM

Files

1996cras-harm.pdf
Files produced by the author(s)

Identifiers

  • HAL Id : hal-00126058, version 1

Collections

Citation

Andrei Moroianu. Formes harmoniques en présence de spineurs de Killing kähleriens. Comptes rendus de l'Académie des sciences. Série I, Mathématique, Elsevier, 1996, 322, pp.679-684. 〈hal-00126058〉

Share

Metrics

Record views

226

Files downloads

138