RT Journal Article T1 Non-convexity of the space of dihedral angles of hyperbolic polyhedra A1 Díaz Sánchez, Raquel AB We prove that the space of dihedralangles of hyperbolic three-dimensional polyhedra, or of compact hyperbolicpolyhedra, of a given combinatorial type is not convex. PB Elsevier SN 0764-4442 YR 1997 FD 1997-11 LK https://hdl.handle.net/20.500.14352/57387 UL https://hdl.handle.net/20.500.14352/57387 LA eng NO E. Andreev. On convex polyhedra in Lobachevskii spaces. Math. USSR Sb., 10 (1970), pp. 413–440E. Andreev. Convex polyhedra of finite volume in Lobachebskii space. Math. USSR Sb., 12 (1970), pp. 255–259R. Diaz. Matrices de Gram y espacios de ángulos diédricos de poliedros. Ph. D. Thesis Universidad Complutense de Madrid (1996)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. 77–111I. Rivin. On geometry of convex ideal polyhedra in hyperbolic 3-space. Topology, Vol. 32 (No. 1) (1993), pp. 87–92I. Rivin. A characterization of ideal polyhedra in hyperbolic 3-space. Ann. Math., Vol. 143 (No. 1) (1996), pp. 51–70 DS Docta Complutense RD 7 may 2024