Hyperbolic cone-manifolds with singular infinity
Year: 2006
Type: preprint
Abstract: . We consider 3-dimensional hyperbolic cone-manifolds, singular along infinite lines, which are “convex co-compact ” in a natural sense. We prove an infinitesimal rigidity statement when the angle around the singular lines is less than π: any first-order deformation changes either one of those angles or the conformal structure at infinity, with marked points corresponding to the endpoints of the singular lines. Moreover, any small variation of the conformal structure at infinity and of the singular angles can be achieved by a unique small deformation of the cone-manifold structure. 1.
Source: arXiv (Cornell University)
Authors: Sergiu Moroianu, Jean‐Marc Schlenker
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2795575481