3 citations · 3 across the 2 of their papers we have counts for
3 papers
math.DG2009★ 3 cited
Minimally invasive surgery for Ricci flow singularities
Sigurd B. Angenent, M. Cristina Caputo, Dan Knopf
In this paper, we construct smooth forward Ricci flow evolutions of singular initial metrics resulting from rotationally symmetric neckpinches on S^(n+1), without performing an int…
math.DG2007
Curve shortening and the topology of closed geodesics on surfaces
Sigurd B. Angenent
We study "flat knot types" of geodesics on compact surfaces M^2. For every flat knot type and any Riemannian metric g we introduce a Conley index associated with the curve shorteni…
math.DG2005
Precise asymptotics of the Ricci flow neckpinch
Sigurd Angenent, Dan Knopf
The best known finite-time local Ricci flow singularity is the neckpinch, in which a proper subset of the manifold becomes geometrically close to a portion of a shrinking cylinder.…