Stable weak shadowable symplectomorphisms are partially hyperbolic

Bessa, Mário; Vaz, Sandra

http://hdl.handle.net/10400.2/13823

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Authors

Bessa, Mário

Vaz, Sandra

Abstract(s)

Let M be a closed, symplectic connected Riemannian mani- fold and f a symplectomorphism on M. We prove that if f is C1-stably weak shadowable on M, then the whole manifold M admits a partially hyperbolic splitting.

Keywords

Partial hyperbolicity Weak shadowing Symplectomorphisms

URI

http://hdl.handle.net/10400.2/13823

Citation

Bessa, M., & Vaz, S. (2014). Stable weak shadowable symplectomorphisms are partially hyperbolic. Communications of the Korean Mathematical Society, 29(2), 285–293.