Bessa, MarioVaz, Sandra2022-11-212022-11-212014-04-30http://hdl.handle.net/10400.6/12422Let M be a closed, symplectic connected Riemannian manifold 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.engPartial hyperbolicityWeak shadowingSymplectomorphismsStable weak shadowable symplectomorphisms are partially hyperbolicjournal article10.4134/CKMS.2014.29.2.2852234-3024