Non-convexity of the space of dihedral angles of hyperbolic polyhedra
| dc.contributor.author | Díaz Sánchez, Raquel | |
| dc.date.accessioned | 2023-06-20T16:54:20Z | |
| dc.date.available | 2023-06-20T16:54:20Z | |
| dc.date.issued | 1997-11 | |
| dc.description.abstract | We prove that the space of dihedralangles of hyperbolic three-dimensional polyhedra, or of compact hyperbolicpolyhedra, of a given combinatorial type is not convex. | |
| dc.description.department | Depto. de Álgebra, Geometría y Topología | |
| dc.description.faculty | Fac. de Ciencias Matemáticas | |
| dc.description.refereed | TRUE | |
| dc.description.status | pub | |
| dc.eprint.id | https://eprints.ucm.es/id/eprint/15708 | |
| dc.identifier.doi | 10.1016/S0764-4442(97)89092-1 | |
| dc.identifier.issn | 0764-4442 | |
| dc.identifier.officialurl | http://www.sciencedirect.com/science/article/pii/S0764444297890921 | |
| dc.identifier.relatedurl | http://www.sciencedirect.com/ | |
| dc.identifier.uri | https://hdl.handle.net/20.500.14352/57387 | |
| dc.issue.number | 9 | |
| dc.journal.title | Comptes Rendus de l'Académie des Sciences. Série I. Mathématique | |
| dc.language.iso | eng | |
| dc.page.final | 998 | |
| dc.page.initial | 993 | |
| dc.publisher | Elsevier | |
| dc.rights.accessRights | restricted access | |
| dc.subject.cdu | 514 | |
| dc.subject.keyword | Three-dimensional polytopes | |
| dc.subject.keyword | Spherical and hyperbolic convexity | |
| dc.subject.ucm | Geometría | |
| dc.subject.unesco | 1204 Geometría | |
| dc.title | Non-convexity of the space of dihedral angles of hyperbolic polyhedra | |
| dc.type | journal article | |
| dc.volume.number | 325 | |
| dcterms.references | E. Andreev. On convex polyhedra in Lobachevskii spaces. Math. USSR Sb., 10 (1970), pp. 413–440 E. Andreev. Convex polyhedra of finite volume in Lobachebskii space. Math. USSR Sb., 12 (1970), pp. 255–259 R. 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. 77–111 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 | |
| dspace.entity.type | Publication | |
| relation.isAuthorOfPublication | ad6ca69d-67a0-4e6d-9177-6a5439e93ce3 | |
| relation.isAuthorOfPublication.latestForDiscovery | ad6ca69d-67a0-4e6d-9177-6a5439e93ce3 |
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