2 citations · 5 across the 7 of their papers we have counts for
12 papers
An optimal volume growth estimate for noncollapsed steady gradient Ricci solitons
Richard H. Bamler, Pak-Yeung Chan, Zilu Ma +1
In this paper, we prove a volume growth estimate for steady gradient Ricci solitons with bounded Nash entropy. We show that such a steady gradient Ricci soliton has volume growth r…
On the fundamental group of non-collapsed ancient Ricci flows
Richard H. Bamler
We show that any manifold admitting a non-collapsed, ancient Ricci flow must have finite fundamental group. This generalizes what was known for -solutions in dimensions 2, 3. We…
Recent developments in Ricci flows
Richard H Bamler
This is a survey on recent developments in Ricci flows.
Ricci flow and contractibility of spaces of metrics
Richard H. Bamler, Bruce Kleiner
We show that the space of metrics of positive scalar curvature on any 3-manifold is either empty or contractible. Second, we show that the diffeomorphism group of every 3-dimension…
On the rotational symmetry of 3-dimensional -solutions
Richard H. Bamler, Bruce Kleiner
In a recent paper, Brendle showed the uniqueness of the Bryant soliton among 3-dimensional -solutions. In this paper, we present an alternative proof for this fact and show that…
Ricci flow and diffeomorphism groups of 3-manifolds
Richard H. Bamler, Bruce Kleiner
We complete the proof of the Generalized Smale Conjecture, apart from the case of , and give a new proof of Gabai's theorem for hyperbolic 3-manifolds. We use an approach bas…