19 citations · 19 across the 5 of their papers we have counts for
3 papers · 1 filter
Infinite-dimensional dynamical instabilities of noncompact stationary Ricci flow solutions
Sigurd B. Angenent, Dan Knopf
Regarding Ricci flow as a dynamical system, we derive sufficient conditions for noncompact stationary (Ricci-flat) solutions to possess infinite-dimensional unstable manifolds, and…
Which shapes can appear in a Curve Shortening Flow Singularity?
Sigurd Angenent, Evan Patrick Davis, Ellie DeCleene +7
We study possible tangles that can occur in singularities of solutions to plane Curve Shortening Flow. We exhibit solutions in which more complicated tangles with more than one sel…
The Zoo of Solitons for Curve Shortening in
Dylan J. Altschuler, Steven J. Altschuler, Sigurd B. Angenent +1
We provide a detailed description of solutions of Curve Shortening in that are invariant under some one-parameter symmetry group of the equation, paying particular attention…