Holomorphic foliations and the Kobayashi metric

Duchamp, T.; Kalka, M.

doi:10.1090/S0002-9939-1977-0464258-2

Holomorphic foliations and the Kobayashi metric
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by T. Duchamp and M. Kalka PDF

Proc. Amer. Math. Soc. 67 (1977), 117-122 Request permission

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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