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

collaborators

Showing 2020Show all

3 papers · 1 filter

math.DG2020★ 17 cited

Almost non-negative scalar curvature on Riemannian manifolds conformal to tori

Brian Allen

In this article we reduce the geometric stability conjecture for the scalar torus rigidity theorem to the conformal case via the Yamabe problem. Then we are able to prove the case…

math.DG2020★ 2 cited

Intrinsic Flat Stability of Manifolds with Boundary where Volume Converges and Distance is Bounded Below

Brian Allen, Raquel Perales

Given a compact, connected, and oriented manifold with boundary $M$ and a sequence of smooth Riemannian metrics defined on it, $g_{j}$ , we prove volume preserving intrinsic flat conv…

math.MG2020★ 1 cited

Volume Above Distance Below

Brian Allen, Raquel Perales, Christina Sormani

Given a pair of metric tensors $g_{1} \geq g_{0}$ on a Riemannian manifold, $M$ , it is well known that $Vol_{1} (M) \geq Vol_{0} (M)$ . Furthermore one has rigidit…