We relate L p convergence of metric tensors or volume convergence to a given smooth
metric to intrinsic flat and Gromov–Hausdorff convergence for sequences of Riemannian …

We explore the distinctions between L p convergence of metric tensors on a fixed
Riemannian manifold versus Gromov–Hausdorff, uniform, and intrinsic flat convergence of …

We consider sequences of compact Riemannian manifolds with uniform Sobolev bounds on
their metric tensors, and prove that their distance functions are uniformly bounded in the …