A note on Schwartzman–Fried–Sullivan Theory, with an application

Journal of Fixed Point Theory and Applications, vol. 22

Abstract

Abstract We prove a theorem on the existence of global surfaces of section with prescribed spanning orbits and homology class. This result is a modification and a refinement of a result due to Fried, recast in terms of invariant measures instead of homology directions.

Authors 1

1. Umberto L. Hryniewicz corresponding Aachen

   RWTH Aachen University

   Affiliation as printed

   RWTH Aachen, Jakobstrasse 2, 52064, Aachen, Germany

   RWTH Aachen, Aachen, , Germany