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Typical singularities of differential 1-forms and Pfaffian equations / Mihail Zhitomirskii

Auteur principal : Zhitomirskii, Mikhail, 1958-, AuteurType de document : MonographieCollection : Translations of mathematical monographs, 113Langue : anglais.Pays : Etats Unis.Éditeur : Providence, RI : American Mathematical Society, 1992Description : 1 vol. (XI-176 p.) ; 27 cmISBN : 0821845675.ISSN : 0065-9282.Bibliographie : Bibliogr. p. 167-170. Index.Sujet MSC : 58A17, Global analysis, analysis on manifolds -- General theory of differentiable manifolds, Pfaffian systems
58A10, Global analysis, analysis on manifolds -- General theory of differentiable manifolds, Differential forms
53C15, Differential geometry -- Global differential geometry, General geometric structures on manifolds (almost complex, almost product structures, etc.)
58-02, Global analysis, analysis on manifolds, Research exposition (monographs, survey articles)
En-ligne : Zentralblatt | MathSciNet | AMS
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Bibliogr. p. 167-170. Index

Singularities and the classification of 1-forms and Pfaffian equations are interesting not only as classical problems, but also because of their applications in contact geometry, partial differential equations, control theory, nonholonomic dynamics, and variational problems. In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskiĭpresents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms. The main results of the book are also collected together in the introduction. (source : AMS)

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