33 citations · 138 across the 31 of their papers we have counts for
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Compactness properties of Ricci flows with bounded scalar curvature
Richard H. Bamler
In this paper we prove a compactness result for Ricci flows with bounded scalar curvature and entropy. It states that given any sequence of such Ricci flows, we can pass to a subse…
Almost-rigidity and the extinction time of positively curved Ricci flows
Richard H. Bamler, Davi Maximo
We prove that Ricci flows with almost maximal extinction time must be nearly round, provided that they have positive isotropic curvature when crossed with . As an a…
Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature --- Part II
Richard H. Bamler, Qi S. Zhang
In this paper we analyze the behavior of the distance function under Ricci flows whose scalar curvature is uniformly bounded. We will show that on small time-intervals the distance…
A Ricci flow proof of a result by Gromov on lower bounds for scalar curvature
Richard H Bamler
In this note we reprove a theorem of Gromov using Ricci flow. The theorem states that a, possibly non-constant, lower bound on the scalar curvature is stable under -convergenc…
Heat kernel and curvature bounds in Ricci flows with bounded scalar curvature
Richard H. Bamler, Qi S. Zhang
In this paper we analyze Ricci flows on which the scalar curvature is globally or locally bounded from above by a uniform or time-dependent constant. On such Ricci flows we establi…