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Formes de Pfaff. Classe et perturbations / Fernando Varela

Auteur principal : Varela, Fernando, AuteurAuteur secondaire collectivité : Université Louis Pasteur, Strasbourg, Etablissement de soutenanceType de document : ThèseLangue : français ; espagnol.Pays : France.Éditeur : [S.l.] : [s.n.], 1975Description : 61 vol. (60 p.) ; 30 cmBibliographie : Bibliogr. p. 59-60.Sujet MSC : 58A17, Global analysis, analysis on manifolds -- General theory of differentiable manifolds, Pfaffian systems
58K25, Global analysis, analysis on manifolds -- Theory of singularities and catastrophe theory, Stability
58A10, Global analysis, analysis on manifolds -- General theory of differentiable manifolds, Differential forms
97A70, Mathematics education - General, mathematics and education, Theses and postdoctoral theses
Note de thèse: Thèse de doctorat ès sciences, mathématiques, 1975, université Louis Pasteur (Strasbourg)En-ligne : Numdam
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Bibliogr. p. 59-60

Thèse de doctorat ès sciences mathématiques 1975 université Louis Pasteur (Strasbourg)

n this paper we consider the behavior, by C 0 -perturbations, of the class of Pfaffian forms. The main results are the following:1) Let A be the set of pfaffian forms in a compact manifold which admit the global expression f d g + d h . Then A is C 0 -dense in the set of pfaffian forms on the manifold.2) Let ω be a contact form in a 3-dimensional manifold. Then every contact form in a small C 0 -neighborhood of ω defines the same orientation that ω .3) Being n ≥ 2 , there exists in every compact subset of R 2 n + 1 a contact form ω such that every C 0 -neighborhood of ω contains a contact form with opposite orientation.

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