Lagrange cylinders and minimal annuli
The author studies the question when two Lagrangian submanifolds in a symplectic manifold are isotopic. To make the problem more accessible, he assumes that the symplectic manifold is a cotangent bundle and that the Lagrangian submanifolds are Lagrange cylinders. To construct the isotopy he uses minimal surfaces, as they are easier to work with than pseudoholomorphic curves.
scientific article; zbMATH DE number 6231911