60 citations · 333 across the 54 of their papers we have counts for
61 papers
Formation and structural stability of nondegenerate neckpinches
Kyeongsu Choi, Panagiota Daskalopoulos, Natasa Sesum
In this paper, we study the formation, precise asymptotics, and structural stability of neckpinch singularities in mean curvature flow. Motivated by the static rigidity of cylindri…
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…
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 $…
Unique Asymptotics of Steady Ricci Solitons with Symmetry
Zilu Ma, Hamidreza Mahmoudian, Natasa Sesum
In this paper we study 4d gradient steady Ricci solitons, which are weak -solutions, and admit O(3)-symmetry. Under a weak curvature decay condition, we find precise geometric a…