P. Daskalopoulos

activity

20062026

most citedUniqueness of compact ancient solutions to three-dimensional Ricci flow

39 citations · 169 across the 38 of their papers we have counts for

collaborators

Showing 2008Show all

3 papers · 1 filter

math.DG2008★ 6 cited

Classification of compact ancient solutions to the curve shortening flow

Panagiota Daskalopoulos, Richard Hamilton, Natasa Sesum

We consider an embedded convex ancient solution $Γ_{t}$ to the curve shortening flow in $R^{2}$ . We prove that there are only two possibilities: the family $Γ_{t}$ is either the…

math.DG2008

The harmonic mean curvature flow of nonconvex surfaces in $R^{3}$

Panagiota Daskalopoulos, Natasa Sesum

We consider a compact, star-shaped, mean convex hypersurface $Σ^{2} \subset R^{3}$ . We prove that in some cases the flow exists until it shrinks to a point in a spherical manne…

math.AP2008★ 1 cited

Highly Degenerate Harmonic Mean Curvature Flow

M. Cristina Caputo, Panagiota Daskalopoulos

We study the evolution of a weakly convex surface $Σ_{0}$ in $R^{3}$ with flat sides by the Harmonic Mean Curvature flow. We establish the short time existence as well as the optimal…

Classification of compact ancient solutions to the curve shortening flow

The harmonic mean curvature flow of nonconvex surfaces in R3

Highly Degenerate Harmonic Mean Curvature Flow

The harmonic mean curvature flow of nonconvex surfaces in $R^{3}$