Polyhedral Deformations of Cone Manifolds
| dc.creator | Aalam, A | |
| dc.date | 2005-08-30 | |
| dc.date.accessioned | 2026-07-07T05:22:48Z | |
| dc.date.available | 2026-07-07T05:22:48Z | |
| dc.description | Two single parameter families of polyhedra $P(ψ)$ are constructed in three dimensional spaces of constant curvature $C(ψ)$. Identification of the faces of the polyhedra via isometries results in cone manifolds $M(ψ)$ which are topologically $S^1\timesS^2$, $S^3$ or singular $S^2$. The singular set of $M(ψ)$ can have self intersections for some values of $ψ$ and can also be the Whitehead link or form other configurations. Curvature varies continuously with $ψ$. At $ψ=0$ spontaneous surgery occurs and the topological type of $M(ψ)$ changes. This phenomenon is described. | |
| dc.description | References accessed | |
| dc.identifier | https://arxiv.org/abs/math/0508620 | |
| dc.identifier | http://arxiv.org/abs/math/0508620 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/76204 | |
| dc.subject | Geometric Topology | |
| dc.title | Polyhedral Deformations of Cone Manifolds | |
| dc.type | text |