2 papers
math.DG2008
Geometric aspects of transversal Killing spinors on Riemannian flows
Nicolas Ginoux, Georges Habib
We study a Killing spinor type equation on spin Riemannian flows. We prove integrability conditions and partially classify those Riemannian flows carrying non-trivial solutions…
math.DG2007
Eigenvalues of the basic Dirac operator on quaternion-Kahler foliations
Georges Habib
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…