%0 Journal Article
%T Geodesics of Hofer's metric on the space of Lagrangian submanifolds
%A Hiroshi Iriyeh
%A Takashi Otofuji
%J Mathematics
%D 2006
%I arXiv
%X We study geodesics of Hofer's metric on the space of Lagrangian submanifolds in arbitrary symplectic manifolds from the variational point of view. We give a characterization of length-critical paths with respect to this metric. As a result, we prove that if two Lagrangian submanifolds are disjoint then we cannot join them by length-minimizing geodesics.
%U http://arxiv.org/abs/math/0608082v1