A Measurable Stability Theorem for Holomorphic Foliations Transverse to Fibrations

Bruno Scardua

International Journal of Differential Equations, 2012, vol. 2012, 1-6

Abstract:

We prove that a transversely holomorphic foliation, which is transverse to the fibers of a fibration, is a Seifert fibration if the set of compact leaves is not a zero measure subset. Similarly, we prove that a finitely generated subgroup of holomorphic diffeomorphisms of a connected complex manifold is finite provided that the set of periodic orbits is not a zero measure subset.

Date: 2012
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:585298

DOI: 10.1155/2012/585298

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