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- W2950901322 abstract "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 $Kgeq 1$ and with all geodesic loops of length $>pi$ 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}." @default.
- W2950901322 created "2019-06-27" @default.
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- W2950901322 date "2007-01-22" @default.
- W2950901322 modified "2023-09-26" @default.
- W2950901322 title "Dynamically convex Finsler metrics and $J$-holomorphic embedding of asymptotic cylinders" @default.
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