Convergence and Riemannian bounds on Lagrangian submanifolds
Convergence and Riemannian bounds on Lagrangian submanifolds
We consider collections of Lagrangian submanifolds of a given symplectic manifold which respect uniform bounds of curvature type coming from an auxiliary Riemannian metric. We prove that, for a large class of metrics on these collections, convergence to an embedded Lagrangian submanifold implies convergence to it in the Hausdorff metric. …