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La première valeur propre de l’opérateur de Dirac sur les variétés kählériennes compactes

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: A. Moroianu

Editorial: Commun. Math. Phys., 169, p.373-384, 1995.

Rezumat:

K. D. Kirchberg gave a lower bound for the first eigenvalue of
the Dirac operator on a spin compact K”ahler manifold $M$ of odd complex dimension
with positive scalar curvature. We prove that manifolds satisfying the limiting
case are twistor space of quaternionic K”ahler manifold
with positive scalar curvature.

Cuvinte cheie: Kaehlerian Killing spinors, twistor spaces

URL: http://math.polytechnique.fr/cmat/moroianu/publi.html