Multiplicity of periodic orbits for dynamically convex contact forms

Author:

Abreu Miguel,Macarini Leonardo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modelling and Simulation

Reference43 articles.

1. Abreu, M., Macarini, L.: Dynamical convexity and elliptic periodic orbits for Reeb flows (2014). arXiv:1411.2543 (preprint)

2. Bourgeois, F.: A Morse-Bott approach to contact homology. In: Eliashberg, Y., Khesin, B., Lalonde, F. (eds.) Symplectic and Contact Topology: Interactions and Perspective, Fields Institute Communications, vol. 35, pp. 55–77. American Mathematical Society, Providence, R.I. (2003)

3. Bourgeois, F., Cieliebak, K., Ekholm, T.: A note on Reeb dynamics on the tight 3-sphere. J. Mod. Dyn. 1(4), 597–613 (2007)

4. Bourgeois, F., Oancea, A.: $$S^1$$ S 1 -equivariant symplectic homology and linearized contact homology. Int. Math. Res. Not. (2012). arXiv:1212.3731 (to appear)

5. Cristofaro-Gardiner, D., Hutchings, M.: From one Reeb orbit to two. J. Differ. Geom. 102, 25–36 (2016)

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