A convexity theorem for real projective structures
| dc.creator | Lee, Jaejeong | |
| dc.date | 2007-05-27 | |
| dc.date.accessioned | 2026-07-07T08:03:20Z | |
| dc.date.available | 2026-07-07T08:03:20Z | |
| dc.description | Given a finite collection P of convex n-polytopes in RP^n (n>1), we consider a real projective manifold M which is obtained by gluing together the polytopes in P along their facets in such a way that the union of any two adjacent polytopes sharing a common facet is convex. We prove that the real projective structure on M is (1) convex if P contains no triangular polytope, and (2) properly convex if, in addition, P contains a polytope whose dual polytope is thick. Triangular polytopes and polytopes with thick duals are defined as analogues of triangles and polygons with at least five edges, respectively. | |
| dc.description | 61 pages, 19 figures | |
| dc.identifier | https://arxiv.org/abs/0705.3920 | |
| dc.identifier | http://arxiv.org/abs/0705.3920 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/129543 | |
| dc.subject | Geometric Topology | |
| dc.subject | 57N16; 52B11 | |
| dc.title | A convexity theorem for real projective structures | |
| dc.type | text |