Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes

Details Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes

2008-04-12

arxiv.org/abs/0804.1997v1

Mathematics

Geometric Topology

6 pages

Scientific paper

This note describes sharp Milnor--Wood inequalities for the Euler number of flat oriented vector bundles over closed Riemannian manifolds locally isometric to products of hyperbolic planes. One consequence is that such manifolds do not admit an affine structure, confirming Chern--Sullivan's conjecture in this case. The manifolds under consideration are of particular interest, since in contrary to many other locally symmetric spaces they do admit flat vector bundle of the corresponding dimension. When the manifold is irreducible and of higher rank, it is shown that flat oriented vector bundles are determined completely by the sign of the Euler number.

Affiliated with

Also associated with

No associations

Rating

Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes 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 Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Milnor-Wood inequalities for manifolds locally isometric to a product of hyperbolic planes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-474198