A characterization of spherical polyhedron surfaces
几何拓扑
2016-09-07 v3 微分几何
摘要
A spherical polyhedron 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 polyhedron surface. This paper investigates these surfaces from the point of view of inner angles. A rigidity result is obtained. A characterization of spherical polyhedron surfaces in terms of the triangulation and the angle assignment is established.
关键词
引用
@article{arxiv.math/0408112,
title = {A characterization of spherical polyhedron surfaces},
author = {Feng Luo},
journal= {arXiv preprint arXiv:math/0408112},
year = {2016}
}
备注
15 pages, correction of typos and adding a few remarks