Positive topological entropy of Reeb flows on spherizations
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Publication:3006533
DOI10.1017/S0305004111000119zbMath1236.53063arXiv1008.4566MaRDI QIDQ3006533
Leonardo Macarini, Felix Schlenk
Publication date: 20 June 2011
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1008.4566
Contact manifolds (general theory) (53D10) Symplectic aspects of Floer homology and cohomology (53D40)
Related Items (20)
Positive topological entropy for Reeb flows on 3-dimensional Anosov contact manifolds ⋮ Lower complexity bounds for positive contactomorphisms ⋮ Volume growth in the component of fibered twists ⋮ Hofer's geometry and topological entropy ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ A Bangert-Hingston theorem for starshaped hypersurfaces ⋮ On the existence of supporting broken book decompositions for contact forms in dimension 3 ⋮ Bott‐integrable Reeb flows on 3‐manifolds ⋮ Dynamical systems. Abstracts from the workshop held July 11--17, 2021 (hybrid meeting) ⋮ Legendrian contact homology and topological entropy ⋮ Filtered Hopf algebras and counting geodesic chords ⋮ Topological entropy for Reeb vector fields in dimension three via open book decompositions ⋮ Symbolic dynamics for three-dimensional flows with positive topological entropy ⋮ Floer homologies, with applications ⋮ Homotopy groups of highly connected manifolds ⋮ Orbit growth of contact structures after surgery ⋮ C0-stability of topological entropy for contactomorphisms ⋮ Dynamically exotic contact spheres in dimensions \(\geq 7\) ⋮ Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems ⋮ Reeb orbits that force topological entropy
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