Eigenvalues of the transversal Dirac operator on Kahler foliations

Mathematics – Differential Geometry

Scientific paper

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Scientific paper

10.1016/j.geomphys.2005.01.009

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 point is to introduce the transversal
kahlerian twistor operators.

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