Kyungpook Mathematical Journal

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Chain Recurrences on Conservative Dynamics

  • Choy, Jaeyoo (Department of Mathematics, Kyungpook National University) ;
  • Chu, Hahng-Yun (Department of Mathematics, Chungnam National University)
  • 투고 : 2014.01.27
  • 심사 : 2014.05.22
  • λ°œν–‰ : 2014.06.23
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초둝

Let M be a manifold with a volume form ${\omega}$ and $f:M{\rightarrow}M$ be a diffeomorphism of class π’ž$^1$ that preserves ${\omega}$. We prove that if M is almost bounded for the diffeomorphism f, then M is chain recurrent. Moreover, we get that Lagrange stable volume-preserving manifolds are also chain recurrent.

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