Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations.

Georges Habib (1)

1 IECN - Institut Élie Cartan de Nancy

In this paper, we give an optimal lower bound for the eigenvalues of the basic Dirac operator on a quaternion-Kahler foliation. The limiting case is characterized by the existence of quaternion-Kahler Killing spinors. We end this paper by giving some examples.

Mots clés: eigenvalues; quaternion-Kahler Killing spinors; Basic Dirac operator; quaternion-Kahler foliations

Domaines: Géométrie différentielle [math.DG]

Georges Habib. Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations.. Annals of Global Analysis and Geometry, 2006, 30, pp.289-298. ⟨10.1007/s10455-006-9024-x⟩. ⟨hal-00159108⟩