Raquel Perales

activity

20132026

most citedConvergence of Manifolds and Metric Spaces with Boundary

10 citations · 48 across the 16 of their papers we have counts for

collaborators

Showing 2020Show all

3 papers · 1 filter

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.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…