Multiplicity of periodic orbits for dynamically convex contact forms

DOI10.1007/s11784-016-0348-2zbMath1364.53085arXiv1509.08441OpenAlexW2963317427MaRDI QIDQ523329

Leonardo Macarini, Miguel Abreu

Publication date: 20 April 2017

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

Full work available at URL: https://arxiv.org/abs/1509.08441

zbMATH Keywords

periodic orbitscontact homologyReeb flowsdynamical convexity

Mathematics Subject Classification ID

Geodesic flows in symplectic geometry and contact geometry (53D25) Symplectic field theory; contact homology (53D42) Contact systems (37J55)

Related Items

On the Chern numbers and the Hilbert polynomial of an almost complex manifold with a circle action, Multiplicity of closed Reeb orbits on prequantization bundles, 3D convex contact forms and the Ruelle invariant, Multiplicity and ellipticity of closed characteristics on compact star-shaped hypersurfaces in \(\mathbb R^{2n}\), Lusternik-Schnirelmann theory and closed Reeb orbits, Rigid constellations of closed Reeb orbits, Generalized common index jump theorem with applications to closed characteristics on star-shaped hypersurfaces and beyond, Non-hyperbolic closed characteristics on non-degenerate star-shaped hypersurfaces in \(\mathbb{R}^{2n}\), Periodic Reeb orbits on prequantization bundles, Dynamical convexity and closed orbits on symmetric spheres, Two closed orbits for non-degenerate Reeb flows, Morse-Bott split symplectic homology, Multiplicity of closed Reeb orbits on dynamically convex \(\mathbb{R}P^{2n-1} \) for \(n\geq2\)

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