An example of a closed 5-manifold of nonpositive curvature that fibers over a circle

Abstract

We exhibit a closed aspherical 5-manifold of nonpositive curvature that fibers over a circle whose fundamental group is hyperbolic relative to abelian subgroups such that the fiber is a closed aspherical 4-manifold whose fundamental group is not hyperbolic relative to abelian subgroups.

References in corpus (1)

• Relative hyperbolicity and relative quasiconvexity for countable groups