1 citations · 1 across the 1 of their papers we have counts for
3 papers
math.DG2022★ 1 cited
Stability of the positive mass theorem and torus rigidity theorems under integral curvature bounds
Brian Allen, Edward Bryden, Demetre Kazaras
Work of D. Stern and Bray-Kazaras-Khuri-Stern provide differential-geometric identities which relate the scalar curvature of Riemannian 3-manifolds to global invariants in terms of…
math.DG2019
Stability of the Spacetime Positive Mass Theorem in Spherical Symmetry
Edward Bryden, Marcus Khuri, Christina Sormani
The rigidity statement of the positive mass theorem asserts that an asymptotically flat initial data set for the Einstein equations with zero ADM mass, and satisfying the dominant…
math.DG2018
Sobolev bounds and convergence of Riemannian manifolds
Brian Allen, Edward Bryden
We consider sequences of compact Riemannian manifolds with uniform Sobolev bounds on their metric tensors, and prove that their distance functions are uniformly bounded in the Höld…