Some vanishing theorems on complete Kähler foliations (Q1271941)
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scientific article; zbMATH DE number 1225555
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some vanishing theorems on complete Kähler foliations |
scientific article; zbMATH DE number 1225555 |
Statements
Some vanishing theorems on complete Kähler foliations (English)
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22 November 1998
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Using the method of \textit{P. Bérard} [Manuscr. Math. 69, 261-266 (1990; Zbl 0717.53024)], some vanishing theorems on complete Kähler foliations are studied. This generalizes earlier results of \textit{S. D. Jung} and \textit{J. S. Pak} [Commun. Korean Math. Soc. 11, 767-781 (1996; MR 98a:58147)] on compact Kähler foliations. Moreover, \textit{H. Kitahara}'s results [C. R. Acad. Sci., Paris, Sér. A 290, 247-249 (1980; Zbl 0431.53057)] for the second Betti number on a complete Kähler manifold are extended to Kähler foliations.
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Bochner-Weitzenböck type formula
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Dirac operator
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Riemannian manifolds
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complete Kähler foliation
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foliated spinor bundles
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second Betti number
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spin geometry
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