By Carlo Petronio
Those notes originate from a seminar held in Pisa in November and December 1996 together by way of Riccardo Benedetti, Paolo Lisca and me. the purpose of those notes is to offer an in depth evidence of the next consequence as a result of Eliashberg and Thurston: THM enable M be a closed orientated 3-manifold and permit F be a cooriented C2-smooth codimension-1 foliation on M. think that (M,F) isn't really diffeomorphic to the product foliation on S2xS1. Then arbitrarily with regards to F within the C0 topology there exist a favorable and a unfavourable C\infty touch constitution.
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A theorem of Eliashberg and Thurston on foliations and contact structures by Carlo Petronio