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Euclidean, hyperbolic, discrete, convex, coarse geometry, metric spaces, comparisons in Riemannian geometry, symmetric spaces.

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Quasi-isometry on subsets of manifold

Assume $g$ and $h$ are smooth Riemannian metrics on a manifold $X$ with $d_g$ and $d_h$ the induced distance functions on $X$ (via infimum of length of curves in X connecting two points). Assume $A$ i …