Abstract
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.
Citation
Feng Luo. "A characterization of spherical polyhedral surfaces." J. Differential Geom. 74 (3) 407 - 424, November 2006. https://doi.org/10.4310/jdg/1175266233
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