Inégalités de Milnor-Wood géométriques

Details Inégalités de Milnor-Wood géométriques Inégalités de Milnor-Wood géométriques

2005-06-21

arxiv.org/abs/math/0506425v2

Mathematics

Differential Geometry

51 pages

Scientific paper

We prove an extension of Milnor-Wood inequalities to a geometric situation. We study representations of the fundamental group of a compact manifold into the isometry group of a product of rank one spaces of the same dimension and show an upper bound on the volume of the representation. When the target group is the isometry group of the real hyperbolic space, we show the constance of the volume under deformations using the Schl\"afli formula and deduce a new and simple proof of a result of T. Soma; the result is that there are only finitely many closed hyperbolic three-manifolds dominated by a given closed three-manifold.

Affiliated with

Also associated with

No associations

Rating

Inégalités de Milnor-Wood géométriques 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 Inégalités de Milnor-Wood géométriques, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Inégalités de Milnor-Wood géométriques will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-293394