29 citations · 39 across the 6 of their papers we have counts for
5 papers
On the evolution of convex hypersurfaces by the flow
M. Cristina Caputo, Panagiota Daskalopoulos, Natasa Sesum
We prove the existence and uniqueness of a solution of the flow in the viscosity sense for compact convex hypersurfaces embedded in () . I…
The Poisson equation on complete manifolds with positive spectrum and applications
Ovidiu Munteanu, Natasa Sesum
In this paper we investigate the existence of a solution to the Poisson equation on complete manifolds with positive spectrum and Ricci curvature bounded from below. We show that i…
Ricci flow on surfaces with cusps
Lizhen Ji, Rafe Mazzeo, Natasa Sesum
We consider the normalized Ricci flow $\del_t g = (ρ- R)g$ with initial condition a complete metric on an open surface where is conformal to a punctured compact Riema…
Multiplier Ideal Sheaves and the Kähler-Ricci Flow
D. H. Phong, Natasa Sesum, Jacob Sturm
Multiplier ideal sheaves are constructed as obstructions to the convergence of the Kähler-Ricci flow on Fano manifolds, following earlier constructions of Kohn, Siu, and Nadel, and…
The rate of convergence of the mean curvature flow
Tom Ilmanen, Natasa Sesum
We study the flow of a smooth, strictly convex hypersurface by its mean curvature in . The surface remains smooth and convex, shrinking monotonically until…