Miles Simon

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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.DG2024

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, $p > \frac{n}{2}$ ,…

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

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