On the deformation of inversive distance circle packings, III
By Huabin Ge, Wenshuai Jiang. 2016
50 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology, Mathematical Physics
View Paper: https://www.semanticscholar.org/paper/82f066248e963c8f111024e7babec0ffdc6d452c
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In Applied Mathematics
In Geometry and Topology
In Mathematical Physics
Citations in the corpus
- Rigidity of inversive distance circle packings revisited (2017, result): “nversive geometry of the 2- sphere. John Bowers, Philip Bowers and Kevin Pratt [5] recently proved the global rigidity of convex inversive distance circle packings in the Riemann sphere. Ge and Jiang [10, 11] recently studied the deformation of combinatorial curvature and found a way to search for i”