Slow volume growth for Reeb flows on spherizations and contact Bott–Samelson theorems
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Publication:5262370
DOI10.1142/S1793525315500168zbMath1368.53056arXiv1307.7290OpenAlexW2962919681MaRDI QIDQ5262370
Felix Schlenk, Clémence Labrousse, Urs Adrian Frauenfelder
Publication date: 13 July 2015
Published in: Journal of Topology and Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1307.7290
Global theory of symplectic and contact manifolds (53D35) Symplectic aspects of Floer homology and cohomology (53D40) Topological entropy (37B40)
Related Items (18)
The Bott-Samelson theorem for positive Legendrian isotopies ⋮ Lower complexity bounds for positive contactomorphisms ⋮ Volume growth in the component of fibered twists ⋮ Positive loops and \(L^{\infty}\)-contact systolic inequalities ⋮ Conjectures about virtual Legendrian knots and links ⋮ A Hamiltonian version of a result of Gromoll and Grove ⋮ Entropy collapse versus entropy rigidity for Reeb and Finsler flows ⋮ From Babylonian lunar observations to Floquet multipliers and Conley–Zehnder indices ⋮ Finsler geodesics, periodic Reeb orbits, and open books ⋮ Legendrian links and déjà vu moments ⋮ The action spectrum characterizes closed contact 3-manifolds all of whose Reeb orbits are closed ⋮ Legendrian contact homology and topological entropy ⋮ Filtered Hopf algebras and counting geodesic chords ⋮ Open problems in the theory of finite-dimensional integrable systems and related fields ⋮ Interval topology in contact geometry ⋮ Causality and Legendrian linking for higher dimensional spacetimes ⋮ Controlled Reeb dynamics -- three lectures not in Cala Gonone ⋮ C0-stability of topological entropy for contactomorphisms
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