Lengths are coordinates for convex structures
Choi, Young-Eun ; Series, Caroline
J. Differential Geom., Tome 72 (2006) no. 1, p. 75-117 / Harvested from Project Euclid
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Suppose that N is a geometrically finite orientable hyperbolic 3-manifold. Let P(N, α) be the space of all geometrically finite hyperbolic structures on N whose convex core is bent along a set α of simple closed curves. We prove that the map which associates to each structure in P(N, α) the lengths of the curves in the bending locus α is one-to-one. If α is maximal, the traces of the curves in α are local parameters for the representation space R(N).
Publié le : 2006-05-14
Classification:  
@article{1146680513,
     author = {Choi, Young-Eun and Series, Caroline},
     title = {Lengths are coordinates for convex structures},
     journal = {J. Differential Geom.},
     volume = {72},
     number = {1},
     year = {2006},
     pages = { 75-117},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1146680513}
}

Choi, Young-Eun; Series, Caroline. Lengths are coordinates for convex structures. J. Differential Geom., Tome 72 (2006) no. 1, pp.  75-117. http://gdmltest.u-ga.fr/item/1146680513/