Dynamically convex Finsler metrics and $J$-holomorphic embedding of asymptotic cylinders

Adam Harris, Gabriel P. Paternain

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 \c…