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Lengths are coordinates for convex structures
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UNSPECIFIED (2006) Lengths are coordinates for convex structures. JOURNAL OF DIFFERENTIAL GEOMETRY, 73 (1). pp. 75-117. ISSN 0022-040X.
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Abstract
Suppose that N is a geometrically finite orientable hyperbolic 3-manifold. Let P(N,alpha) be the space of all geometrically finite hyperbolic structures on N whose convex core is bent along a set alpha of simple closed curves. We prove that the map which associates to each structure in P(N, alpha) the lengths of the curves in the bending locus alpha is one-to-one. If alpha is maximal, the traces of the curves in alpha are local parameters for the representation space R(N).
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Journal or Publication Title: | JOURNAL OF DIFFERENTIAL GEOMETRY | ||||
Publisher: | LEHIGH UNIV | ||||
ISSN: | 0022-040X | ||||
Official Date: | May 2006 | ||||
Dates: |
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Volume: | 73 | ||||
Number: | 1 | ||||
Number of Pages: | 43 | ||||
Page Range: | pp. 75-117 | ||||
Publication Status: | Published |
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