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Pré-Publication, Document De Travail Année : 2018

ON THE AUTOMORPHISM GROUP OF FOLIATIONS WITH GEOMETRIC TRANSVERSE STRUCTURE

Résumé

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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Dates et versions

hal-01897109 , version 1 (16-10-2018)

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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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