31 citations · 69 across the 14 of their papers we have counts for
19 papers
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 of regul…
On the Hamilton-Lott conjecture in higher dimensions
Alix Deruelle, Felix Schulze, Miles Simon
We study -dimensional Ricci flows with non-negative Ricci curvature where the curvature is pointwise controlled by the scalar curvature and bounded by , starting at metric…
Initial stability estimates for Ricci flow and three dimensional Ricci-pinched manifolds
Alix Deruelle, Felix Schulze, Miles Simon
This paper investigates the question of stability for a class of Ricci flows which start at possibly non-smooth metric spaces. We show that if the initial metric space is Reifenber…
Ricci flow of -metrics in four dimensions
Tobias Lamm, Miles Simon
In this paper we construct solutions to Ricci DeTurck flow in four dimensions on closed manifolds which are instantaneously smooth but whose initial values are (possibly) non-s…
On the regularity of Ricci flows coming out of metric spaces
Alix Deruelle, Felix Schulze, Miles Simon
We consider smooth, not necessarily complete, Ricci flows, with and for all …
Local mollification of Riemannian metrics using Ricci flow, and Ricci limit spaces
Miles Simon, Peter M. Topping
We use Ricci flow to obtain a local bi-Holder correspondence between Ricci limit spaces in three dimensions and smooth manifolds. This is more than a complete resolution of the thr…