Resumen de Geodesics of Hofer's metric on the space of Lagrangian submanifolds

Hiroshi Iriyeh, Takashi Otofuji

• 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 see that if two Lagrangian submanifolds are disjoint then we cannot join them by length-minimizing geodesics.