A note on Schwartzman-Fried-Sullivan Theory, with an application

DOI10.1007/s11784-020-0757-0zbMath1439.53056arXiv1904.12416OpenAlexW3008016666MaRDI QIDQ2308452

Umberto L. Hryniewicz

Publication date: 3 April 2020

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1904.12416

zbMATH Keywords

homology classasymptotic cyclesglobal surfaces

Mathematics Subject Classification ID

Dynamics induced by flows and semiflows (37C10) Global submanifolds (53C40) Smooth ergodic theory, invariant measures for smooth dynamical systems (37C40)

Related Items (5)

Global surfaces of Section with positive genus for dynamically convex Reeb flows ⋮ Genus zero global surfaces of section for Reeb flows and a result of Birkhoff ⋮ On the relation between action and linking ⋮ Global hypersurfaces of section in the spatial restricted three-body problem ⋮ Reeb orbits that force topological entropy

Cites Work

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• Right-handed vector fields and the Lorenz attractor
• The geometry of cross sections to flows
• Cycles for the dynamical study of foliated manifolds and complex manifolds
• The dynamics on three-dimensional strictly convex energy surfaces
• Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three
• The restricted three-body problem and holomorphic curves
• Symplectic fixed points and holomorphic spheres
• Asymptotic cycles
• GLOBAL SURFACES OF SECTION FOR REEB FLOWS IN DIMENSION THREE AND BEYOND

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