21 citations · 51 across the 15 of their papers we have counts for
19 papers
Ricci flows which terminate in cones
Brett Kotschwar
We prove that a complete solution to the Ricci flow on which has quadratic curvature decay on some end of and converges locally smoothly to the end of a cone…
Backward propagation of warped product structures and asymptotically conical shrinkers
Brett Kotschwar
We establish sufficient conditions which ensure that a locally-warped product structure propagates backward in time under the Ricci flow. As an application, we prove that if an asy…
On the maximal rate of convergence under the Ricci flow
Brett Kotschwar
We estimate from above the rate at which a solution to the normalized Ricci flow on a closed manifold may converge to a limit soliton. Our main result implies that any solution whi…
The full holonomy group under the Ricci flow
Mary Cook, Brett Kotschwar
We give a short, direct proof that the full holonomy group of a solution to the Ricci flow is invariant up to isomorphism using the invariance of the reduced holonomy under the flo…
Isometries of asymptotically conical shrinking Ricci solitons
Brett Kotschwar, Lu Wang
We show that if a shrinking soliton is asymptotic to a cone along an end then the isometry group of the cross-section of the cone embeds in the isometry group of the end of the shr…
A uniqueness theorem for asymptotically cylindrical shrinking Ricci solitons
Brett Kotschwar, Lu Wang
We prove that a shrinking gradient Ricci soliton which agrees to infinite order at spatial infinity with one of the standard cylindrical metrics on $S^k\times \RR^{n-k}$ for $k\geq…