Biblioteca de la Universidad Complutense de Madrid

Non-convexity of the space of dihedral angles of hyperbolic polyhedra

Impacto

Díaz Sánchez, Raquel (1997) Non-convexity of the space of dihedral angles of hyperbolic polyhedra. Comptes Rendus de l'Académie des Sciences. Série I. Mathématique , 325 (9). pp. 993-998. ISSN 0764-4442

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URL Oficial: http://www.sciencedirect.com/science/article/pii/S0764444297890921




Resumen

We prove that the space of dihedralangles of hyperbolic three-dimensional polyhedra, or of compact hyperbolicpolyhedra, of a given combinatorial type is not convex.


Tipo de documento:Artículo
Palabras clave:Three-dimensional polytopes; Spherical and hyperbolic convexity
Materias:Ciencias > Matemáticas > Geometría
Código ID:15708
Referencias:

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R. Díaz. A characterization of Gram matrices of polytopes. preprint (1997)

B. Grünbaum. Convex Polytopes. Pure and Applied Mathematics, Vol. XVI Interscience publishers (1967)

C. Hodgson, I. Rivin. A characterization of compact convex polyhedra in hyperbolic 3-space. Invent. Math., 111 (1993), pp. 77–111

I. Rivin. On geometry of convex ideal polyhedra in hyperbolic 3-space. Topology, Vol. 32 (No. 1) (1993), pp. 87–92

I. Rivin. A characterization of ideal polyhedra in hyperbolic 3-space. Ann. Math., Vol. 143 (No. 1) (1996), pp. 51–70

Depositado:21 Jun 2012 08:17
Última Modificación:06 Feb 2014 10:30

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