Examples of noncompact nonpositively curved manifolds

TL;DR

This paper introduces a straightforward method to construct new complete, finite-volume manifolds with bounded, nonpositive curvature, featuring diverse end structures and non-duality group fundamental groups.

Contribution

It provides a simple construction technique for noncompact, nonpositively curved manifolds with complex end geometries and non-duality fundamental groups.

Findings

Constructed new examples of noncompact, finite-volume nonpositively curved manifolds.

Manifolds have ends resembling various locally symmetric types.

Fundamental groups are not duality groups.

Abstract

We give a simple construction of new, complete, finite volume manifolds $M$ of bounded, nonpositive curvature. These manifolds have ends that look like a mixture of locally symmetric ends of different ranks and their fundamental groups are not duality groups.