F. Litzinger

activity

20192026

collaborators

3 papers

math.DG2026

Spaces with distributional scalar curvature bounded from below: Optimal regularity and positive mass

Man-Chun Lee, Florian Litzinger, Miles Simon

In this work, we study the positive mass theorem under critical low regularity assumptions using Ricci flow smoothing. We show that asymptotically flat manifolds $(M^{n}, g)$ of regul…

math.DG2025

Ricci-DeTurck flow of almost continuous $L^{2}$ -metrics, and metrics with distributional scalar curvature bounded from below

Florian Litzinger, Miles Simon

We consider Riemannian manifolds $(M^{n}, g_{0})$ , $(M^{n}, h)$ , where $(M^{n}, h)$ is smooth, complete, with curvature bounded in absolute value by $K_{0} < \infty$ , and $(1-\varepsilon_0(n))…

math.DG2019

Optimal regularity for two-dimensional Pfaffian systems and the fundamental theorem of surface theory

Florian Litzinger

We prove that a Pfaffian system with coefficients in the critical space $L_{loc}^{2}$ on a simply connected open subset of $R^{2}$ has a non-trivial solution in $W^{1,2…

Spaces with distributional scalar curvature bounded from below: Optimal regularity and positive mass

Ricci-DeTurck flow of almost continuous L2-metrics, and metrics with distributional scalar curvature bounded from below

Optimal regularity for two-dimensional Pfaffian systems and the fundamental theorem of surface theory

Ricci-DeTurck flow of almost continuous $L^{2}$ -metrics, and metrics with distributional scalar curvature bounded from below