Lengths are coordinates for convex structures

Details Lengths are coordinates for convex structures Lengths are coordinates for convex structures

2004-06-13

arxiv.org/abs/math/0406257v2

Mathematics

Geometric Topology

46 pages, 3 figures; v2: corrections and improved exposition

Scientific paper

Suppose that N is a geometrically finite orientable hyperbolic 3-manifold. Let P(N,C) be the space of all geometrically finite hyperbolic structures on N whose convex core is bent along a set C of simple closed curves. We prove that the map which associates to each structure in P(N,C) the lengths of the curves in the bending locus C is one-to-one. If C is maximal, the traces of the curves in C are local parameters for the representation space R(N).

Affiliated with

Also associated with

No associations

Rating

Lengths are coordinates for convex structures does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Lengths are coordinates for convex structures, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Lengths are coordinates for convex structures will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-507571