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ON THE AUTOMORPHISM GROUP OF FOLIATIONS WITH GEOMETRIC TRANSVERSE STRUCTURE

Abstract : Motivated by questions of deformations/moduli in foliation theory, we investigate the structure of some groups of diffeomorphisms preserving a foliation. We give an example of a C ∞ foliation whose diffeomorphism group is not a Lie group in any reasonable sense. On the positive side, we prove that the automorphism group of a transversely holomorphic foliation or a riemannian foliation is a strong ILH Lie goup in the sense of Omori.
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https://hal.archives-ouvertes.fr/hal-01897109
Contributor : Laurent Meersseman <>
Submitted on : Tuesday, October 16, 2018 - 9:29:55 PM
Last modification on : Monday, March 29, 2021 - 11:50:04 AM
Long-term archiving on: : Thursday, January 17, 2019 - 3:27:32 PM

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  • HAL Id : hal-01897109, version 1

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Laurent Meersseman, Marcel Nicolau, Javier Ribón. ON THE AUTOMORPHISM GROUP OF FOLIATIONS WITH GEOMETRIC TRANSVERSE STRUCTURE. 2018. ⟨hal-01897109⟩

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