2 citations · 2 across the 1 of their papers we have counts for
2 papers
math.SG2002★ 2 cited
Boundary rigidity for Lagrangian submanifolds, non-removable intersections, and Aubry-Mather theory
Gabriel P. Paternain, Leonid Polterovich, Karl Friedrich Siburg
We consider Lagrangian submanifolds lying on a fiberwise strictly convex hypersurface in some cotangent bundle or, respectively, in the domain bounded by such a hypersurface. We es…
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…