Open Access
November 2006 A characterization of spherical polyhedral surfaces
Feng Luo
J. Differential Geom. 74(3): 407-424 (November 2006). DOI: 10.4310/jdg/1175266233


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.


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Feng Luo. "A characterization of spherical polyhedral surfaces." J. Differential Geom. 74 (3) 407 - 424, November 2006.


Published: November 2006
First available in Project Euclid: 30 March 2007

zbMATH: 1127.52032
MathSciNet: MR2269784
Digital Object Identifier: 10.4310/jdg/1175266233

Primary: 57Mxx

Rights: Copyright © 2006 Lehigh University

Vol.74 • No. 3 • November 2006
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