Miles Simon

collaborators

3 papers

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.DG2025

Volume estimates and convergence results for solutions to Ricci flow with $L^{p}$ bounded scalar curvature

Jiawei Liu, Miles Simon

In this paper we study $n$ -dimensional Ricci flows $(M^{n}, g (t))_{t \in [0, T)},$ where $T < \infty$ is a potentially singular time, and for which the spatial $L^{p}$ norm, $p > \frac{n}{2}$ ,…

math.DG2025

Integral curvature estimates for solutions to Ricci flow with $L^{p}$ bounded scalar curvature

Jiawei Liu, Miles Simon

In this paper we prove localised weighted curvature integral estimates for solutions to the Ricci flow in the setting of a smooth four dimensional Ricci flow or a closed $n$ -dimens…

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

Volume estimates and convergence results for solutions to Ricci flow with Lp bounded scalar curvature

Integral curvature estimates for solutions to Ricci flow with Lp bounded scalar curvature

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

Volume estimates and convergence results for solutions to Ricci flow with $L^{p}$ bounded scalar curvature

Integral curvature estimates for solutions to Ricci flow with $L^{p}$ bounded scalar curvature