Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity

Details Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity

2010-07-14

arxiv.org/abs/1007.2346v1

Mathematics

Geometric Topology

15 pages, 7 figures

Scientific paper

Consider a 3$-$dimensional manifold $N$ obtained by gluing a finite number of ideal hyperbolic tetrahedra via isometries along their faces. By varying the isometry type of each tetrahedron but keeping fixed the gluing pattern we define a space $\mathcal{T}$ of complete hyperbolic metrics on $N$ with cone singularities along the edges of the tetrahedra. We prove that $\mathcal{T}$ is homeomorphic to a Euclidean space and we compute its dimension. By means of examples, we examine if the elements of $% \mathcal{T}$ are uniquely determined by the angles around the edges of $N.$

Affiliated with

Also associated with

No associations

Rating

Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity 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 Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Teichmüller space of non-compact 3-manifolds and Mostow rigidity will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-120977