Equivariant Plateau Problems
| dc.creator | Smith, Graham | |
| dc.date | 2006-02-13 | |
| dc.date | 2006-12-12 | |
| dc.date.accessioned | 2026-07-07T06:36:05Z | |
| dc.date.available | 2026-07-07T06:36:05Z | |
| dc.description | Let $(M,Q)$ be a compact, three dimensional manifold of strictly negative sectional curvature. Let $(Σ,P)$ be a compact, orientable surface of hyperbolic type (i.e. of genus at least two). Let $θ:π_1(Σ,P)\toπ_1(M,Q)$ be a homomorphism. Generalising a recent result of Gallo, Kapovich and Marden concerning necessary and sufficient conditions for the existence of complex projective structures with specified holonomy to manifolds of non-constant negative curvature, we obtain necessary conditions on $θ$ for the existence of a so called $θ$-equivariant Plateau problem over $Σ$, which is equivalent to the existence of a strictly convex immersion $i:Σ\to M$ which realises $θ$ (i.e. such that $θ=i_*$). | |
| dc.description | 47 pages, 2 figures, considerably shortened version containing much the same content as before | |
| dc.identifier | https://arxiv.org/abs/math/0602271 | |
| dc.identifier | http://arxiv.org/abs/math/0602271 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/99979 | |
| dc.subject | Differential Geometry | |
| dc.subject | 57M50 | |
| dc.title | Equivariant Plateau Problems | |
| dc.type | text |