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Stably weakly shadowing symplectomorphisms are partially hyperbolic

Published 22 Mar 2012 in math.DS | (1203.5139v1)

Abstract: Let M be a closed, symplectic connected Riemannian manifold, f a symplectomorphism on M. We prove that if f is C1-stably weakly shadowing on M, then the whole manifold M admits a partially hyperbolic splitting.

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Authors (2)

  1. Mario Bessa 
  2. Sandra Vaz 

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