J ul 2 00 7 Eigenvalues of the transversal Dirac Operator on Kähler Foliations
نویسنده
چکیده
In this paper, we prove Kirchberg-type inequalities for any Kähler spin foliation. Their limiting-cases are then characterized as being transversal minimal Einstein foliations. The key point is to introduce the transversal Kählerian twistor operators.
منابع مشابه
Eigenvalues of the transversal Dirac operator on Kahler foliations
In this paper, we prove Kirchberg-type inequalities for any Kähler spin foliation. Their limiting-cases are then characterized as being transversal minimal Einstein foliations. The key point is to introduce the transversal Kählerian twistor operators.
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