On the properties of the combinatorial Ricci flow for surfaces

Details On the properties of the combinatorial Ricci flow for surfaces On the properties of the combinatorial Ricci flow for surfaces

2011-04-11

arxiv.org/abs/1104.2033v2

Mathematics

Differential Geometry

22 pages

Scientific paper

We investigate the properties of the combinatorial Ricci flow for surfaces, both forward and backward -- existence, uniqueness and singularities formation. We show that the positive results that exist for the smooth Ricci flow also hold for the combinatorial one and that, moreover, the same results hold for a more general, metric notion of curvature. Furthermore, using the metric curvature approach, we show the existence of the Ricci flow for polyhedral manifolds of piecewise constant curvature. We also study the problem of the realizability of the said flow in $\mathbb{R}^3$.

Affiliated with

Also associated with

No associations

Rating

On the properties of the combinatorial Ricci flow for surfaces 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 On the properties of the combinatorial Ricci flow for surfaces, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the properties of the combinatorial Ricci flow for surfaces will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-59183