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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2009, Volume 267, Pages 182–197 (Mi tm2593)  
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
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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
English version:
Proceedings of the Steklov Institute of Mathematics, 2009, Volume 267, Pages 174–189
DOI: https://doi.org/10.1134/S0081543809040142
Bibliographic databases:
UDC: 514.763
Language: English
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
Citation in format AMSBIB
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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