Hyperbolicity from contact surgery

DOI10.5802/mrr.14zbMath1529.37024OpenAlexW4386073422MaRDI QIDQ6076270

Curtis Heberle, Boris Hasselblatt

Publication date: 23 October 2023

Published in: Mathematics Research Reports (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/mrr.14

zbMATH Keywords

surgery3-manifoldhyperbolic flowcontact flow

Mathematics Subject Classification ID

Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Surgery and handlebodies (57R65) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Contact structures in 3 dimensions (57K33) Flows related to symplectic and contact structures (53E50)

Cites Work

• Contact Anosov flows on hyperbolic 3-manifolds
• Hyperbolic flows
• Orbit growth of contact structures after surgery
• On the existence of supporting broken book decompositions for contact forms in dimension 3
• Polynomial decay of correlations in linked-twist maps
• Bernoulli linked-twist maps in the plane
• Ergodicity of toral linked twist mappings
• Subshifts of Finite Type in Linked Twist Mappings
• A Bernoulli toral linked twist map without positive Lyapunov exponents
• Stochastic stability of Bernoulli toral linked twist maps of finite and infinite entropy
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