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math.DG2024
A Smooth Intrinsic Flat Limit of with Negative Curvature
Jared Krandel, Paul Sweeney
In 2014, Gromov asked if nonnegative scalar curvature is preserved under intrinsic flat convergence. Here we construct a sequence of closed oriented Riemannian -manifolds, $n\ge…
math.MG2024
Weak Carleson conditions in uniformly rectifiable metric spaces: the WCD and alpha numbers
Jared Krandel
We investigate characterizations of uniformly rectifiable (UR) metric spaces by so-called weak Carleson conditions for flatness coefficients which measure the extent to which Hausd…