A characterization of spherical polyhedral surfaces
Luo, Feng
J. Differential Geom., Tome 72 (2006) no. 1, p. 407-424 / Harvested from Project Euclid
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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.
Publié le : 2006-11-14
Classification:  57Mxx 
@article{1175266233,
     author = {Luo, Feng},
     title = {A characterization of spherical polyhedral surfaces},
     journal = {J. Differential Geom.},
     volume = {72},
     number = {1},
     year = {2006},
     pages = { 407-424},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175266233}
}

Luo, Feng. A characterization of spherical polyhedral surfaces. J. Differential Geom., Tome 72 (2006) no. 1, pp.  407-424. http://gdmltest.u-ga.fr/item/1175266233/