Resumen de Entropy collapse versus entropy rigidity for Reeb and Finsler flows

Alberto Abbondandolo , Marcelo R.R. Alves, Murat Sağlam, Felix Schlenk

• On every closed contact manifold there exist contact forms with volume one whose Reeb flows have arbitrarily small topological entropy. In contrast, for many closed manifolds there is a uniform positive lower bound for the topological entropy of (not necessarily reversible) normalized Finsler geodesic flows.