STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC

Title & Authors
STABLE WEAK SHADOWABLE SYMPLECTOMORPHISMS ARE PARTIALLY HYPERBOLIC
Bessa, Mario; Vaz, Sandra;

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