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Hausdorff Limits of Submanifolds of Symplectic and Contact Manifolds

Hausdorff Limits of Submanifolds of Symplectic and Contact Manifolds

We study sequences of immersions respecting bounds coming from Riemannian geometry and apply the ensuing results to the study of sequences of submanifolds of symplectic and contact manifolds. This allows us to study the subtle interaction between the Hausdorff metric and the Lagrangian Hofer and spectral metrics. In the process, …