Ricci flow on surfaces with cusps

Details Ricci flow on surfaces with cusps Ricci flow on surfaces with cusps

2007-03-12

arxiv.org/abs/math/0703357v4

Mathematics

Differential Geometry

Scientific paper

We consider the normalized Ricci flow $\del_t g = (\rho - R)g$ with initial condition a complete metric $g_0$ on an open surface $M$ where $M$ is conformal to a punctured compact Riemann surface and $g_0$ has ends which are asymptotic to hyperbolic cusps. We prove that when $\chi(M) < 0$ and $\rho < 0$, the flow $g(t)$ converges exponentially to the unique complete metric of constant Gauss curvature $\rho$ in the conformal class.

Affiliated with

Also associated with

No associations

Rating

Ricci flow on surfaces with cusps does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ricci flow on surfaces with cusps, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ricci flow on surfaces with cusps will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-438918