La première valeur propre de l'opérateur de Dirac sur les variétés kähleriennes compactes
Abstract
K. D. Kirchberg gave a lower bound for the first eigenvalue of the Dirac operator on a spin compact Kähler manifold $M$ of odd complex dimension with positive scalar curvature. We prove that manifolds satisfying the limiting case are twistor space of quaternionic Kähler manifold with positive scalar curvature.
Domains
Differential Geometry [math.DG]
Origin : Files produced by the author(s)