Chain Recurrences on Conservative Dynamics

Chain Recurrences on Conservative Dynamics

Let M be a manifold with a volumeform w and f : M → M be a diffeomorphism of class C1 that preserves w. We prove that if M isalmost bounded for the diffeomorphism f, then M is chainrecurrent. Moreover, we get that Lagrange stable volume-preservingmanifolds are also chain recurrent. KCI Citation Coun...

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Veröffentlicht in:Kyungpook mathematical journal 2014, 54(2), , pp.165-171
Hauptverfasser: Choy, Jaeyoo, Chu, Hahng-Yun
Format: Artikel
Sprache:eng
Schlagworte:
수학
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Zusammenfassung:Let M be a manifold with a volumeform w and f : M → M be a diffeomorphism of class C1 that preserves w. We prove that if M isalmost bounded for the diffeomorphism f, then M is chainrecurrent. Moreover, we get that Lagrange stable volume-preservingmanifolds are also chain recurrent. KCI Citation Count: 0
ISSN:1225-6951
0454-8124
DOI:10.5666/KMJ.2014.54.2.165