74 citations · 267 across the 68 of their papers we have counts for
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math.DG2015
Li-Yau gradient bounds on compact manifolds under nearly optimal curvature conditions
Qi S Zhang, Meng Zhu
We prove Li-Yau type gradient bounds for the heat equation either on manifolds with fixed metric or under the Ricci flow. In the former case the curvature condition is $|Ric^-| \in…
math.DG2015
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…
math.DG2015
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…