Singular Ricci Flows on surfaces with boundary and positive scalar curvature

Author:

Jean C. Cortissoz, Juan J. Villamarín

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Analysis of PDEs (math.AP)

journal:

date:

2023-10-30 16:00:00

Abstract

We study the subsequential convergence of singular solutions to the Ricci flow with prescribed constant in space geodesic curvature on compact surfaces with boundary. Furthermore, we show that in the particular case of rotational symmetry, this convergence does not depend on the sign of the geodesic curvature of the boundary.

PDF: Singular Ricci Flows on surfaces with boundary and positive scalar curvature.pdf