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TRANSVERSAL INFINITESIMAL AUTOMORPHISMS ON KÄHLER FOLIATIONS

Published online by Cambridge University Press:  02 February 2012

SEOUNG DAL JUNG*
Affiliation:
Department of Mathematics and Research Institute for Basic Sciences, Jeju National University, Jeju 690-756, Korea (email: [email protected])
HUILI LIU
Affiliation:
Department of Mathematics, Northeastern University, 110004 Shenyang, PR China (email: [email protected])
*
For correspondence; e-mail: [email protected]
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Abstract

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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.

Type
Research Article
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.

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