Brian Allen

activity

20152023

most citedProperties of the Null Distance and Spacetime Convergence

25 citations · 102 across the 18 of their papers we have counts for

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Showing 2021Show all

2 papers · 1 filter

math.DG2021★ 1 cited

Sobolev Inequalities and Convergence For Riemannian Metrics and Distance Functions

Brian Allen, Edward Bryden

If one thinks of a Riemannian metric, $g_{1}$ , analogously as the gradient of the corresponding distance function, $d_{1}$ , with respect to a background Riemannian metric, $g_{0}$ , then…

math.DG2021★ 1 cited

From $L^{p}$ Bounds To Gromov-Hausdorff Convergence Of Riemannian Manifolds

Brian Allen

In this paper we provide a way of taking $L^{p}$ , $p > \frac{m}{2}$ bounds on a $m -$ dimensional Riemannian metric and transforming that into Hölder bounds for the corresponding dist…

Sobolev Inequalities and Convergence For Riemannian Metrics and Distance Functions

From Lp Bounds To Gromov-Hausdorff Convergence Of Riemannian Manifolds

From $L^{p}$ Bounds To Gromov-Hausdorff Convergence Of Riemannian Manifolds