Brian Allen

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math.DG2026

Lipschitz Bounds and Uniform Convergence for Sequences of Bounded Rough Riemannian Metrics

Brian Allen, Bernardo Falcao, Harry Pacheco +1

Here we study what we call bounded rough Riemannian metrics $(M, g)$ , which are positive definite, symmetric tensors on each tangent space, $T_{p} M$ , which are bounded and measurable…

math.DG2024

Compactness of Sequences of Warped Product Length Spaces

Brian Allen, Bryan Sanchez, Yahaira Torres

If we consider a sequence of warped product length spaces, what conditions on the sequence of warping functions implies compactness of the sequence of distance functions? In partic…