Reference : Quasi-Fuchsian manifolds with particles
Scientific journals : Article
Physical, chemical, mathematical & earth Sciences : Mathematics
http://hdl.handle.net/10993/853
Quasi-Fuchsian manifolds with particles
English
Moroianu, Sergiu [> >]
Schlenker, Jean-Marc mailto [University of Luxembourg > Faculty of Science, Technology and Communication (FSTC) > Mathematics Research Unit >]
2009
Journal of Differential Geometry
Lehigh University
83
1
75-129
Yes (verified by ORBilu)
International
0022-040X
1945-743X
Bethlehem
PA
[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.
http://hdl.handle.net/10993/853

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