Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior
Area-preserving diffeomorphisms of the torus whose rotation sets have non-empty interior
Abstract In this paper we consider ${C}^{1+ \epsilon } $ area-preserving diffeomorphisms of the torus $f$ , either homotopic to the identity or to Dehn twists. We suppose that $f$ has a lift $\widetilde {f} $ to the plane such that its rotation set has interior and prove, among other …