Aspherical manifolds with relatively hyperbolic fundamental groups

Details Aspherical manifolds with relatively hyperbolic fundamental groups Aspherical manifolds with relatively hyperbolic fundamental groups

2005-09-21

arxiv.org/abs/math/0509490v4

Mathematics

Group Theory

final version, to appear in Geometry Dedicata

Scientific paper

We show that the aspherical manifolds produced via the relative strict hyperbolization of polyhedra enjoy many group-theoretic and topological properties of open finite volume negatively pinched manifolds, including relative hyperbolicity, nonvanishing of simplicial volume, co-Hopf property, finiteness of outer automorphism group, absence of splitting over elementary subgroups, and acylindricity. In fact, some of these properties hold for any compact aspherical manifold with incompressible aspherical boundary components, provided the fundamental group is hyperbolic relative to fundamental groups of boundary components. We also show that no manifold obtained via the relative strict hyperbolization can be embedded into a compact Kaehler manifold of the same dimension, except when the dimension is two.

Affiliated with

Also associated with

No associations

Rating

Aspherical manifolds with relatively hyperbolic fundamental groups 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 Aspherical manifolds with relatively hyperbolic fundamental groups, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Aspherical manifolds with relatively hyperbolic fundamental groups will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-486542