Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group

Details Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group

2003-06-27

arxiv.org/abs/math/0306398v1

(revised version) Topology Appl. 145 (2004), 69--81

Mathematics

Geometric Topology

12 pages, 1 figure

Scientific paper

Let M and N be n-dimensional connected orientable finite-volume hyperbolic manifolds with geodesic boundary, and let f be a given isomorphism between the fundamental groups of M and N. We study the problem whether there exists an isometry between M and N which induces f. We show that this is always the case if the dimension of M and N is at least four, while in the three-dimensional case the existence of an isometry inducing f is proved under some (necessary) additional conditions on f. Such conditions are trivially satisfied if the boundaries of M and N are both compact.

Affiliated with

Also associated with

No associations

Rating

Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group 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 Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hyperbolic manifolds with geodesic boundary which are determined by their fundamental group will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335513