3 citations · 6 across the 5 of their papers we have counts for
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Synthetic approaches to Ricci flows
Matthias Erbar, Marco Flaim, Eric Hupp +3
We review different notions of synthetic Ricci flow that apply to time-dependent families of metric measure spaces and which are based on properties of the heat flow, ideas from op…
Synthetic notions of Ricci flow for metric measure spaces
Matthias Erbar, Zhenhao Li, Timo Schultz
We develop different synthetic notions of Ricci flow in the setting of time-dependent metric measure spaces based on ideas from optimal transport. They are formulated in terms of d…
Super Ricci flows for weighted graphs
Matthias Erbar, Eva Kopfer
We present a notion of super Ricci flow for time-dependent finite weighted graphs. A challenging feature is that these flows typically encounter singularities where the underlying…
Rigidity of cones with bounded Ricci curvature
Matthias Erbar, Karl-Theodor Sturm
We show that the only metric measure space with the structure of an -cone and with two-sided synthetic Ricci bounds is the Euclidean space for integer. T…
Smoothing and non-smoothing via a flow tangent to the Ricci flow
Matthias Erbar, Nicolas Juillet
We study a transformation of metric measure spaces introduced by Gigli and Mantegazza consisting in replacing the original distance with the length distance induced by the transpor…