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- W2963485658 abstract "In this note we consider the following conjecture: given any closed symplectic manifold $M$, there is a sufficiently small real positive number $rho$ such that the open ball of radius $rho$ in the Hofer metric centered at the identity on the group of Hamiltonian diffeomorphisms of $M$ is contractible, where the retraction takes place in that ball (this is the strong version of the conjecture) or inside the ambient group of Hamiltonian diffeomorphisms of $M$ (this is the weak version of the conjecture). We prove several results that support the weak form of the conjecture." @default.
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- W2963485658 date "2014-12-01" @default.
- W2963485658 modified "2023-10-11" @default.
- W2963485658 title "On the injectivity radius in Hofer's geometry" @default.
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- W2963485658 doi "https://doi.org/10.3934/era.2014.21.177" @default.
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