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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 

 

Holomorphic foliations and the Kobayashi metric


Authors: T. Duchamp and M. Kalka
Journal: Proc. Amer. Math. Soc. 67 (1977), 117-122
MSC: Primary 57D30; Secondary 32H15
MathSciNet review: 0464258
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Abstract: Here we extend the notion of the Kobayashi metric from complex manifolds to holomorphic foliations of smooth manifolds. This gives a notion of a hyperbolic foliation. We prove that a hyperbolic foliation of a compact manifold is compact and Hausdorff.


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DOI: http://dx.doi.org/10.1090/S0002-9939-1977-0464258-2
Keywords: Holomorphic foliation, Kobayashi metric
Article copyright: © Copyright 1977 American Mathematical Society