4 citations · 6 across the 5 of their papers we have counts for
5 papers
Singularity formation of complete Ricci flow solutions
Timothy Carson, James Isenberg, Dan Knopf +1
We study singularity formation of complete Ricci flow solutions, motivated by two applications: (a) improving the understanding of the behavior of the essential blowup sequences of…
Ricci flow from some spaces with asymptotically cylindrical singularities
Timothy Carson
We prove the existence of Ricci flow starting from a class of metrics with unbounded curvature, which are doubly-warped products over an interval with a spherical factor pinched of…
Ricci Flow recovering from pinched discs
Timothy Carson
We construct smooth solutions to Ricci flow starting from a class of singular metrics and give asymptotics for the forward evolution. The singular metrics heal with a set of points…
A Pohozaev Identity on Warped Product Solitons
Timothy Carson
Warped product metrics are a class of Riemannian metrics on cross products which have been well studied and provide a rich set of examples. In this paper we consider s…
Ricci Flow Emerging from Rotationally Symmetric Degenerate Neckpinches
Timothy Carson
In previous work, Angenent, Isenberg, and Knopf created type-II Ricci flow neckpinch singularities. In this paper we construct solutions to Ricci flow whose initial data is the sin…