25 citations · 52 across the 12 of their papers we have counts for
Showing 1999Show all
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math.SG1999
Partially ordered groups and geometry of contact transformations
Yakov Eliashberg, Leonid Polterovich
We prove, for a class of contact manifolds, that the universal cover of the group of contact diffeomorphisms carries a natural partial order. It leads to a new viewpoint on geometr…
math.DG1999
On the asymptotic geometry of area-preserving maps
Leonid Polterovich, Karl Friedrich Siburg
We study the asymptotic behaviour of 1-parameter subgroups with respect to Hofer's metric when the underlying symplectic manifold is an open surface of infinite area. We prove that…