A characterization of spherical polyhedron surfaces
نویسنده
چکیده
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 3sphere 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. AMS subject classification: 52C26 (30F10, 57M50) §
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تاریخ انتشار 2006