대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제29권2호
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  • Pages.285-293
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  • 2014
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC

  • Bessa, Mario (Universidade da Beira Interior Rua Marques d'Avila e Bolama) ;
  • Vaz, Sandra (Universidade da Beira Interior Rua Marques d'Avila e Bolama)
  • 투고 : 2014.01.24
  • 발행 : 2014.04.30
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초록

Let M be a closed, symplectic connected Riemannian manifold and f a symplectomorphism on M. We prove that if f is $C^1$-stably weak shadowable on M, then the whole manifold M admits a partially hyperbolic splitting.

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참고문헌

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