6 citations · 9 across the 2 of their papers we have counts for
5 papers
Ricci flows with unbounded curvature
Peter M. Topping
Until recently, Ricci flow was viewed almost exclusively as a way of deforming Riemannian metrics of bounded curvature. Unfortunately, the bounded curvature hypothesis is unnatural…
Ricci flows with bursts of unbounded curvature
Gregor Giesen, Peter M. Topping
Given a completely arbitrary surface, whether or not it has bounded curvature, or even whether or not it is complete, there exists an instantaneously complete Ricci flow evolution…
Ricci flows with unbounded curvature
Gregor Giesen, Peter M. Topping
We show that any noncompact Riemann surface admits a complete Ricci flow g(t), t\in[0,\infty), which has unbounded curvature for all t\in[0,\infty).
Existence of Ricci flows of incomplete surfaces
Gregor Giesen, Peter M. Topping
We prove a general existence result for instantaneously complete Ricci flows starting at an arbitrary Riemannian surface which may be incomplete and may have unbounded curvature. W…
Ricci flow of negatively curved incomplete surfaces
Gregor Giesen, Peter M. Topping
We show uniqueness of Ricci flows starting at a surface of uniformly negative curvature, with the assumption that the flows become complete instantaneously. Together with the more…