4 citations · 8 across the 6 of their papers we have counts for
10 papers · 1 filter
A rigidity estimate for maps from to via the harmonic map flow
Peter M. Topping
We show how a rigidity estimate introduced in recent work of Bernand-Mantel, Muratov and Simon can be derived using the harmonic map flow.
Uniqueness and nonuniqueness of limits of Teichmueller harmonic map flow
James Kohout, Melanie Rupflin, Peter M. Topping
The harmonic map energy of a map from a closed, constant-curvature surface to a closed target manifold can be seen as a functional on the space of maps and domain metrics. We consi…
Pyramid Ricci Flow in Higher Dimensions
Andrew D. McLeod, Peter M. Topping
In this paper, we construct a pyramid Ricci flow starting with a complete Riemannian manifold that is PIC1, or more generally satisfies a lower curvature bound $K_{IC_1…
Ricci flow and Ricci Limit Spaces
Peter M. Topping
I survey some of the developments in the theory of Ricci flow and its applications from the past decade. I focus mainly on the understanding of Ricci flows that are permitted to ha…
Global Regularity of Three-Dimensional Ricci Limit Spaces
Andrew D. McLeod, Peter M. Topping
We construct a global homeomorphism from any 3D Ricci limit space to a smooth manifold, that is locally bi-Holder. This extends the recent work of Miles Simon and the second author…
Rate of curvature decay for the contracting cusp Ricci flow
Peter M. Topping, Hao Yin
We prove that the Ricci flow that contracts a hyperbolic cusp has curvature decay like one over time squared. In order to do this, we prove a new Li-Yau type differential Harnack i…