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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 182–197
(Mi tm2593)
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Diffeomorphisms Preserving Symplectic Data on Submanifolds
S. Janeczkoab, Z. Jelonekc a Institute of Mathematics, Polish Academy of Sciences, Warszawa, Poland
b Faculty of Mathematics and Information Science, Warsaw University of Technology, Warszawa, Poland
c Institute of Mathematics, Polish Academy of Sciences, Kraków, Poland
Abstract:
We characterize general symplectic manifolds and their structure groups through a family of isotropic or symplectic submanifolds and their diffeomorphic invariance. In this way we obtain a complete geometric characterization of symplectic diffeomorphisms and a reinterpretation of symplectomorphisms as diffeomorphisms acting purely on isotropic or symplectic submanifolds.
Received in March 2008
Citation:
S. Janeczko, Z. Jelonek, “Diffeomorphisms Preserving Symplectic Data on Submanifolds”, Singularities and applications, Collected papers, Trudy Mat. Inst. Steklova, 267, MAIK Nauka/Interperiodica, Moscow, 2009, 182–197; Proc. Steklov Inst. Math., 267 (2009), 174–189
Linking options:
https://www.mathnet.ru/eng/tm2593 https://www.mathnet.ru/eng/tm/v267/p182
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Abstract page: | 184 | Full-text PDF : | 50 | References: | 44 |
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