Formes harmoniques en présence de spineurs de Killing kähleriens
Moroianu, Andrei
HAL, hal-00126058 / Harvested from HAL
Text on HAL
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.
Publié le : 1996-07-05
Classification:  [MATH.MATH-DG]Mathematics [math]/Differential Geometry [math.DG] 
@article{hal-00126058,
     author = {Moroianu, Andrei},
     title = {Formes harmoniques en pr\'esence de spineurs de Killing k\"ahleriens},
     journal = {HAL},
     volume = {1996},
     number = {0},
     year = {1996},
     language = {fr},
     url = {http://dml.mathdoc.fr/item/hal-00126058}
}

Moroianu, Andrei. Formes harmoniques en présence de spineurs de Killing kähleriens. HAL, Tome 1996 (1996) no. 0, . http://gdmltest.u-ga.fr/item/hal-00126058/