3 citations · 3 across the 2 of their papers we have counts for
5 papers · 1 filter
The mean curvature flow on solvmanifolds
Romina M. Arroyo, Gabriela P. Ovando, Raquel Perales +1
This work is a survey of the most relevant background material to motivate and understand the construction and classification of translating solutions to mean curvature flow on a f…
Intrinsic flat stability of the positive mass theorem for asymptotically hyperbolic graphical manifolds
Armando J. Cabrera Pacheco, Melanie Graf, Raquel Perales
The rigidity of the Riemannian positive mass theorem for asymptotically hyperbolic manifolds states that the total mass of such a manifold is zero if and only if the manifold is is…
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…
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…
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…