Maximal volume representations are fuchsian

Details Maximal volume representations are fuchsian Maximal volume representations are fuchsian

2004-11-02

arxiv.org/abs/math/0411050v1

A modified version is published: Geom. Dedicata, 117:111--124, 2006

Mathematics

Geometric Topology

14 pages

Scientific paper

We prove a volume-rigidity theorem for fuchsian representations of fundamental groups of hyperbolic k-manifolds into Isom(H^n). Namely, we show that if M is a complete hyperbolic k-manifold with finite volume, then the volume of any representation of its fundamental group into Isom(H^n), 3 <= k <= n, is less than the volume of M, and the volume is maximal if and only if the representation is discrete, faithful and ``k-fuchsian''.

Affiliated with

Also associated with

No associations

Rating

Maximal volume representations are fuchsian 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 Maximal volume representations are fuchsian, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Maximal volume representations are fuchsian will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-340329