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A Theorem of Eliashberg and Thurston on Foliations and Contact Structures

af Carlo Petronio
A Theorem of Eliashberg and Thurston on Foliations and Contact Structures af Carlo Petronio
Bag om A Theorem of Eliashberg and Thurston on Foliations and Contact Structures

These notes originate from a seminar held in Pisa in November and December 1996 jointly by Riccardo Benedetti, Paolo Lisca and me. The aim of these notes is to give a detailed proof of the following result due to Eliashberg and Thurston: THM Let M be a closed oriented 3-manifold and let F be a cooriented C2-smooth codimension-1 foliation on M. Assume that (M, F) is not diffeomorphic to the product foliation on S2xS1. Then arbitrarily close to F in the C0 topology there exist a positive and a negative C\infty contact structure

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  • Sprog:
  • Engelsk
  • ISBN:
  • 9788876422867
  • Indbinding:
  • Paperback
  • Sideantal:
  • 61
  • Udgivet:
  • 1. oktober 1997
  • Størrelse:
  • 168x242x5 mm.
  • Vægt:
  • 141 g.
  • Ukendt - mangler pt..

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These notes originate from a seminar held in Pisa in November and December 1996 jointly by Riccardo Benedetti, Paolo Lisca and me. The aim of these notes is to give a detailed proof of the following result due to Eliashberg and Thurston: THM Let M be a closed oriented 3-manifold and let F be a cooriented C2-smooth codimension-1 foliation on M. Assume that (M, F) is not diffeomorphic to the product foliation on S2xS1. Then arbitrarily close to F in the C0 topology there exist a positive and a negative C\infty contact structure

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