Note on a theorem of Bangert

TL;DR

This paper extends Bangert's non-hyperbolicity theorem from standard symplectic spaces to asymptotically standard symplectic manifolds, broadening the understanding of symplectic geometry.

Contribution

It generalizes Bangert's non-hyperbolicity result to a wider class of symplectic manifolds with asymptotic properties.

Findings

Non-hyperbolicity holds for asymptotically standard symplectic manifolds.

Extension of Bangert's theorem to new geometric settings.

Broader implications for symplectic topology and complex structures.

Abstract

We generalize Bangert's non-hyperbolicity result for uniformly tamed almost complex structures on standard symplectic $R^{2n}$ to asymtotically standard symplectic manifolds.