Paula Burkhardt-Guim

activity

20192024

collaborators

3 papers

math.DG2024

Smoothing $L^{\infty}$ Riemannian metrics with nonnegative scalar curvature outside of a singular set

Paula Burkhardt-Guim

We show that any $L^{\infty}$ Riemannian metric $g$ on $R^{n}$ that is smooth with nonnegative scalar curvature away from a singular set of finite $(n - α)$ -dimensional Minkowsk…

math.DG2020

Defining Pointwise Lower Scalar Curvature Bounds for $C^{0}$ 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 $C^{0}$ metrics. We discuss several…

math.DG2019

Pointwise lower scalar curvature bounds for $C^{0}$ 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 $C^{0}$ metrics. We show the following: that our definitions are…

Smoothing L∞ Riemannian metrics with nonnegative scalar curvature outside of a singular set

Defining Pointwise Lower Scalar Curvature Bounds for C0 Metrics with Regularization by Ricci Flow

Pointwise lower scalar curvature bounds for C0 metrics via regularizing Ricci flow

Smoothing $L^{\infty}$ Riemannian metrics with nonnegative scalar curvature outside of a singular set

Defining Pointwise Lower Scalar Curvature Bounds for $C^{0}$ Metrics with Regularization by Ricci Flow

Pointwise lower scalar curvature bounds for $C^{0}$ metrics via regularizing Ricci flow