25 citations · 29 across the 4 of their papers we have counts for
5 papers
A continuous Positive Mass Theorem for perturbations of Euclidean space
Paula Burkhardt-Guim
We prove a Positive Mass Theorem for -asymptotically flat Riemannian metrics with nonnegative scalar curvature in a weak sense that are sufficiently uniformly close to Euclide…
Smoothing Riemannian metrics with nonnegative scalar curvature outside of a singular set
Paula Burkhardt-Guim
We show that any Riemannian metric on that is smooth with nonnegative scalar curvature away from a singular set of finite -dimensional Minkowsk…
ADM mass for metrics and distortion under Ricci-DeTurck flow
Paula Burkhardt-Guim
We show that there exists a quantity, depending only on data of a Riemannian metric, that agrees with the usual ADM mass at infinity whenever the ADM mass exists, but has a w…
Defining Pointwise Lower Scalar Curvature Bounds for Metrics with Regularization by Ricci Flow
Paula Burkhardt-Guim
We survey some recent work using Ricci flow to create a class of local definitions of weak lower scalar curvature bounds that is well defined for metrics. We discuss several…
Pointwise lower scalar curvature bounds for metrics via regularizing Ricci flow
Paula Burkhardt-Guim
In this paper we propose a class of local definitions of weak lower scalar curvature bounds that is well defined for metrics. We show the following: that our definitions are…