13 citations · 14 across the 2 of their papers we have counts for
3 papers
math.DG2019★ 1 cited
Eguchi-Hanson singularities in U(2)-invariant Ricci flow
Alexander Appleton
We show that a Ricci flow in four dimensions can develop singularities modeled on the Eguchi-Hanson space. In particular, we prove that starting from a class of asymptotically cyli…
math.DG2017★ 13 cited
A family of non-collapsed steady Ricci solitons in even dimensions greater or equal to four
Alexander Appleton
We construct a family of non-collapsed, non-Kähler, non-Einstein steady Ricci solitons in even dimensions greater or equal to four. These solitons exist on complex line bundles ove…
math.DG2016
Scalar curvature rigidity and Ricci Deturck flow on perturbations of Euclidean Space
Alexander Appleton
We prove a rigidity result for non-negative scalar curvature perturbations of the Euclidean metric on , which may be regarded as a weak version of the rigidity state…