Dynamically convex Finsler metrics and $J$-holomorphic embedding of asymptotic cylinders
| dc.creator | Harris, Adam | |
| dc.creator | Paternain, Gabriel P. | |
| dc.date | 2007-01-22 | |
| dc.date.accessioned | 2026-07-07T07:42:23Z | |
| dc.date.available | 2026-07-07T07:42:23Z | |
| dc.description | We explore the relationship between contact forms on $\mathbb S^3$ defined by Finsler metrics on $\mathbb S^2$ and the theory developed by H. Hofer, K. Wysocki and E. Zehnder in \cite{HWZ,HWZ1}. We show that a Finsler metric on $\mathbb S^2$ with curvature $K\geq 1$ and with all geodesic loops of length $>π$ is dynamically convex and hence it has either two or infinitely many closed geodesics. We also explain how to explicitly construct $J$-holomorphic embeddings of cylinders asymptotic to Reeb orbits of contact structures arising from Finsler metrics on $\mathbb S^2$ with K=1 thus complementing the results obtained in \cite{HW}. | |
| dc.identifier | https://arxiv.org/abs/math/0701616 | |
| dc.identifier | http://arxiv.org/abs/math/0701616 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/122424 | |
| dc.subject | Differential Geometry | |
| dc.subject | Symplectic Geometry | |
| dc.title | Dynamically convex Finsler metrics and $J$-holomorphic embedding of asymptotic cylinders | |
| dc.type | text |