Pseudorotations of the -disc and Reeb flows on the -sphere
DOI10.1017/etds.2021.15OpenAlexW3136217928WikidataQ114118947 ScholiaQ114118947MaRDI QIDQ5021946
Kai Zehmisch, Hansjörg Geiges, Peter Albers
Publication date: 17 January 2022
Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.07129
area-preserving diffeomorphismsopen book decompositionglobal surface of sectioncontact cutpseudorotation
Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Dynamical systems involving homeomorphisms and diffeomorphisms of planes and surfaces (37E30) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Dynamical systems involving smooth mappings and diffeomorphisms (37C05) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)
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Cites Work
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- On the existence of disk-like global sections for Reeb flows on the tight 3-sphere
- Differentiable isotopies on the 2-sphere
- A fixed-point free ergodic flow on the 3-sphere
- The dynamics on three-dimensional strictly convex energy surfaces
- An index theorem for the homeomorphisms of the plane near a fixed point
- Finite energy foliations of tight three-spheres and Hamiltonian dynamics
- Mean action and the Calabi invariant
- Sharp systolic inequalities for Reeb flows on the three-sphere
- A characterisation of the tight three-sphere
- The action spectrum characterizes closed contact 3-manifolds all of whose Reeb orbits are closed
- Ideal Liouville domains, a cool gadget
- A Poincaré-Birkhoff theorem for tight Reeb flows on \(S^3\)
- Pseudo-rotations with sufficiently Liouvillean rotation number are \(C^0\)-rigid
- Global surfaces of section in the planar restricted 3-body problem
- Controlled Reeb dynamics -- three lectures not in Cala Gonone
- Periodic approximations of irrational pseudo-rotations using pseudoholomorphic curves
- Weak and strong fillability of higher dimensional contact manifolds
- A note on Reeb dynamics on the tight 3-sphere
- A dynamical characterization of universally tight lens spaces
- Contact geometry of the restricted three-body problem
- Contact structures on principal circle bundles
- ERGODIC PERTURBATIONS OF DEGENERATE INTEGRABLE HAMILTONIAN SYSTEMS
- GLOBAL SURFACES OF SECTION FOR REEB FLOWS IN DIMENSION THREE AND BEYOND
- Odd-symplectic forms via surgery and minimality in symplectic dynamics
- Global surfaces of section for dynamically convex Reeb flows on lens spaces
- Constructions in elliptic dynamics
- On the contact mapping class group of Legendrian circle bundles
- An Introduction to Contact Topology
- Diffeomorphisms of the 2-Sphere
- Differential Topology
- Contact cuts
- From one Reeb orbit to two
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