3 papers
math.MG2026
Tangents to Lipschitz and Sobolev images
Matthew Badger, Jared Krandel, Vyron Vellis
We develop geometric versions of Rademacher and Calderon type differentiability theorems in two categories. A special case of our results is that for any Lipschitz or continuous $W…
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…