The role of center manifolds in ordinary differential equations
Knobloch, H. W., Aulbach, B.
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Knobloch, H. W., Aulbach, B.
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Christian Bonatti, Sylvain Crovisier, Amie Wilkinson (2009)
Publications Mathématiques de l'IHÉS
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Answering a question of Smale, we prove that the space of C 1 diffeomorphisms of a compact manifold contains a residual subset of diffeomorphisms whose centralizers are trivial.
Taras Banakh, Robert Cauty (2007)
Banach Center Publications
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We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and...
B. Hajduk (1976)
Colloquium Mathematicae
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Bernd Aulbach, Dietrich Flockerzi, Hans-Wilhelm Knobloch (1986)
Časopis pro pěstování matematiky
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P. H. Doyle (1974)
Colloquium Mathematicae
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Wlodzimierz Waliszewski (1987)
Colloquium Mathematicae
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Mednykh, Alexander, Vesnin, Andrei (1998)
Journal of Lie Theory
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U. C. Vohra, K. D. Singh (1972)
Annales Polonici Mathematici
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Jiří Vanžura (2017)
Archivum Mathematicum
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We find necessary and sufficient conditions for the integrability of one type of multisymplectic 3-forms on a 6-dimensional manifold.