27 citations · 75 across the 29 of their papers we have counts for
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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…
math.DG2007★ 6 cited
Eigenvalues of the transversal Dirac operator on Kahler foliations
Georges Habib
In this paper, we prove Kirchberg inequalities for any kahler spin foliations. Their limiting cases are then characterized as being transversal minimal Einstein foliations. The key…
math.DG2007★ 22 cited
Energy-Momentum tensor on foliations
Georges Habib
In this paper, we give a new lower bound for the eigenvalues of the Dirac operator on a compact spin manifold. This estimate is motivated by the fact that in its limiting case a sk…