Reference : Quasi-Fuchsian manifolds with particles
 Document type : Scientific journals : Article Discipline(s) : Physical, chemical, mathematical & earth Sciences : Mathematics To cite this reference: http://hdl.handle.net/10993/853
 Title : Quasi-Fuchsian manifolds with particles Language : English Author, co-author : Moroianu, Sergiu [> >] Schlenker, Jean-Marc [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >] Publication date : 2009 Journal title : Journal of Differential Geometry Publisher : Lehigh University Volume : 83 Issue/season : 1 Pages : 75-129 Peer reviewed : Yes (verified by ORBilu) Audience : International ISSN : 0022-040X e-ISSN : 1945-743X City : Bethlehem Country : PA Abstract : [en] 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 $\pi$: 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. Permalink : http://hdl.handle.net/10993/853

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