On ends of finite-volume noncompact manifolds of nonpositive curvature

Abstract

In this paper we confirm a folklore conjecture which suggests that for a complete noncompact manifold \(M\) of finite volume with sectional curvature \(-1 \leq K \leq 0\), if the universal cover of \(M\) is a visibility manifold, then the fundamental group of each end of \(M\) is almost nilpotent.