1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.MG2019★ 1 cited
Sequences of three dimensional manifolds with positive scalar curvature
J. Basilio, C. Sormani
We develop two new methods of constructing sequences of manifolds with positive scalar curvature that converge in the Gromov-Hausdorff and Intrinsic Flat sense to limit spaces with…
math.DG2018
An intrinsic flat limit of Riemannian manifolds with no geodesics
Jorge Basilio, Demetre Kazaras, Christina Sormani
In this paper we produce a sequence of Riemannian manifolds , , which converge in the intrinsic flat sense to the unit -sphere with the restricted Euclidean dist…
math.DG2017
Sewing Riemannian Manifolds with Positive Scalar Curvature
J. Basilio, J. Dodziuk, C. Sormani
We explore to what extent one may hope to preserve geometric properties of three dimensional manifolds with lower scalar curvature bounds under Gromov-Hausdorff and Intrinsic Flat…