5 papers
Unique asymptotics of symmetric ancient ovals of Ricci flow
Panagiota Daskalopoulos, Wenkui Du, Natasa Sesum +1
We obtain the unique asymptotics of -invariant, compact, simply-connected, {factorwisely non-self-similar} -dimensional -solutions of the Ricci flow $(…
Asymptotic Geometry of Four-Dimensional Steady Solitons
Aprameya Girish Hebbar, Natasa Sesum
In this paper we study the behavior of the scalar curvature at infinity on complete noncompact steady gradient Ricci solitons. In dimension four, we assume that the canonical Ricci…
Mean curvature flow near a peanut solution
Sigurd Angenent, Panagiota Daskalopoulos, Natasa Sesum
It was shown by Angenent, Altschuler and Giga, and by Angenent and Velazquez that there exist closed mean curvature flow solutions that extinct to a point in finite time, without e…
Stability of neckpinch singularities
Felix Schulze, Natasa Sesum
In this paper, we study the stability of neckpinch singularities. We show that if a mean curvature flow develops only finitely many neckpinch singularities at the first s…
Local singularities of compact multiply warped Ricci flow solutions
James Isenberg, Dan Knopf, Zilu Ma +1
We demonstrate that any four-dimensional shrinking Ricci soliton , where is any two-dimensional complete noncompact surface and $…