3 citations · 3 across the 1 of their papers we have counts for
3 papers
math.DG2020★ 3 cited
Intrinsic flat convergence of points and applications to stability of the positive mass theorem
Lan-Hsuan Huang, Dan A. Lee, Raquel Perales
We prove results on intrinsic flat convergence of points---a concept first explored by Sormani in \cite{Sormani-AA}. In particular, we discuss compatibility with Gromov-Hausdorff c…
math.DG2019
Stability of graphical tori with almost nonnegative scalar curvature
Armando J. Cabrera Pacheco, Christian Ketterer, Raquel Perales
By works of Schoen-Yau and Gromov-Lawson any Riemannian manifold with nonnegative scalar curvature and diffeomorphic to a torus is isometric to a flat torus. Gromov conjectured sub…
math.DG2017
Alexandrov Spaces with Integral Current Structure
Maree Jaramillo, Raquel Perales, Priyanka Rajan +2
We endow each closed, orientable Alexandrov space with an integral current of weight equal to 1, , in other words, we prove that $(X, d…