A dynamical construction of Liouville domains

Abstract

We first present a general construction of Liouville domains as partial mapping tori. Then we study two examples where the (partial) monodromies exhibit certain hyperbolic behavior in the sense of Dynamical Systems. The first example is based on Smale's attractor, a.k.a., solenoid; and the second example is based on certain hyperbolic toral automorphisms.

arXiv comment7 pages, 1 figure; added more examples and remarks

References in corpus (2)

• Convex hypersurface theory in contact topology
• Stabilized convex symplectic manifolds are Weinstein