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TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KÄHLER FOLIATIONS
Published online by Cambridge University Press: 02 February 2012
Abstract
Let ℱ be a Kähler foliation on a compact Riemannian manifold M. If the transversal scalar curvature of ℱ is nonzero constant, then any transversal conformal field is a transversal Killing field; and if the transversal Ricci curvature is nonnegative and positive at some point, then there are no transversally holomorphic fields.
Keywords
MSC classification
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 86 , Issue 3 , December 2012 , pp. 405 - 415
- Copyright
- Copyright © Australian Mathematical Publishing Association Inc. 2012
Footnotes
The first author was supported by the National Research Foundation of Korea (NRF) Grant NRF-2011-616-C00040, and the second author was supported by NSFC no. 11111140377.
References
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