Journal Article10.1007/BF02566670
Convexité en topologie de contact
488
TL;DR: In this paper, the authors describe a set of structures of contact invariant to the gradient of a fonction de morse, a condition topologique necessaire and suffisante for the existence of telles structures.
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Abstract: Le texte est consacre a l'etude des structures de contact qui sont invariantes par le gradient d'une fonction de morse On donne en particulier, en dimension 3, une condition topologique necessaire et suffisante pour l'existence de telles structures Pour cela, on explique comment utiliser les champs de vecteurs qui preservent une structure de contact pour decrire le feuilletage caracteristique des surfaces et ses deformations au cours de certaines isotopies
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Citations
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Right-veering diffeomorphisms of compact surfaces with boundary I
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References
Pseudo holomorphic curves in symplectic manifolds
TL;DR: In this article, the authors define a parametrized (pseudo holomorphic) J-curve in an almost complex manifold (IS, J) is a holomorphic map of a Riemann surface into Is, say f : (S, J3 ~(V, J).
2.7K
Some global properties of contact structures
TL;DR: In this paper, it is shown that if the manifold is orientable then this property is equivalent to the existence of a globally defined 1-form ca of maximal rank, and then some further equivalent conditions are derived.
440
•Book
Les méthodes mathématiques de la mécanique classique
Vladimir Igorevich Arnolʹd,Djilali Embarek +1 more
- 01 Jan 1976
400
Structures de contact sur les fibrés principaux en cercles de dimension trois
TL;DR: In this paper, the conditions générales d'utilisation (http://www.numdam.org/legal.php) of a fichier do not necessarily imply a mention of copyright.