4 papers
A discrete uniformization theorem for decorated piecewise hyperbolic metrics on surfaces
Xu Xu, Chao Zheng
In this paper, we study a natural discretization of the smooth Gaussian curvature on surfaces. A discrete uniformization theorem is established for this discrete Gaussian curvature…
Rigidity of generalized Thurston's sphere packings on 3-dimensional manifolds with boundary
Xu Xu, Chao Zheng
Motivated by Guo-Luo's generalized circle packings on surfaces with boundary \cite{GL2}, we introduce the generalized Thurston's sphere packings on 3-dimensional manifolds with bou…
Rigidity and deformation of generalized sphere packings on 3-dimensional manifolds with boundary
Xu Xu, Chao Zheng
Motivated by Guo-Luo's generalized circle packings on surfaces with boundary \cite{GL2}, we introduce the generalized sphere packings on 3-dimensional manifolds with boundary. Then…
Combinatorial curvature flows with surgery for inversive distance circle packings on surfaces
Xu Xu, Chao Zheng
Inversive distance circle packings introduced by Bowers-Stephenson are natural generalizations of Thurston's circle packings on surfaces. To find piecewise Euclidean metrics on sur…