A characterization of spherical polyhedral surfaces

Feng Luo

Geometric Analysis and Geometric Topology mathscidoc:1912.43796

Journal of Differential Geometry, 74, (3), 407-424, 2006
A spherical polyhedral surface is a triangulated surface obtained by isometric gluing of spherical triangles. For instance, the boundary of a generic convex polytope in the 3-sphere is a spherical polyhedral surface. This paper investigates these surfaces from the point of view of inner angles. A rigidity result is obtained. A characterization of spherical polyhedral surfaces in terms of the triangulation and the angle assignment is established.
No keywords uploaded!
[ Download ] [ 2019-12-24 20:58:48 uploaded by Feng_Luo ] [ 21 downloads ] [ 0 comments ]
@inproceedings{feng2006a,
  title={A characterization of spherical polyhedral surfaces},
  author={Feng Luo},
  url={http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205848071050360},
  booktitle={Journal of Differential Geometry},
  volume={74},
  number={3},
  pages={407-424},
  year={2006},
}
Feng Luo. A characterization of spherical polyhedral surfaces. 2006. Vol. 74. In Journal of Differential Geometry. pp.407-424. http://archive.ymsc.tsinghua.edu.cn/pacm_paperurl/20191224205848071050360.
Please log in for comment!
 
 
Contact us: office-iccm@tsinghua.edu.cn | Copyright Reserved