On the regularity of the composition of diffeomorphisms / H. Inci, T. Kappeler, P. Topalov

Auteur principal : Inci, Hasan, 1982-, AuteurCo-auteur : Kappeler, Thomas, 1953-, Auteur • Topalov, Peter, 1968-, AuteurType de document : MonographieCollection : Memoirs of the American Mathematical Society, 1062Langue : anglais.Pays: Etats Unis.Éditeur : Providence (R.I.) : American Mathematical Society, 2013Description : 1 vol. (V-60 p.) ; 26 cmISBN: 9780821887417.ISSN: 0065-9266.Bibliographie : Bibliogr. p.59-60.Sujet MSC : 58D05, Global analysis, analysis on manifolds - Spaces and manifolds of mappings, Groups of diffeomorphisms and homeomorphisms as manifolds
58B10, Global analysis, analysis on manifolds, Differentiability questions for infinite-dimensional manifolds
58D15, Global analysis, analysis on manifolds - Spaces and manifolds of mappings, Manifolds of mappings
58D30, Global analysis, analysis on manifolds - Spaces and manifolds of mappings, Applications to the sciences
35B65, Qualitative properties of solutions to partial differential equations, Smoothness and regularity of solutions to PDEs
En-ligne : Zentralblatt | MathSciNet
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Bibliogr. p.59-60

In this paper the group of diffeomorphisms D of a smooth manifold M is considered. In various settings, the space of diffeomorphisms of a given manifold with prescribed regularity turns out to be an (infinite-dimensional) topological group with the group operation given by the composition... (Zentralblatt)

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