Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5772240 | Journal of Functional Analysis | 2017 | 23 Pages |
Abstract
We show that the results in [8] are still true in hyperbolic background geometry setting, that is, the solution to Chow-Luo's combinatorial Ricci flow can always be extended to a solution that exists for all time, furthermore, the extended solution converges exponentially fast if and only if there exists a metric with zero curvature. We also give some results about the range of discrete Gaussian curvatures, which generalize Andreev-Thurston's theorem to some extent.
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Huabin Ge, Wenshuai Jiang,