A note on non-uniform lattices in negatively curved, non-visibility manifolds

Abstract

We show that for each dimension n ⩾ 3 , the class of finite volume, negatively curved manifolds M n that were constructed by Fujiwara [‘A construction of negatively curved manifolds’, Proc. Japan Acad. Ser. A Math. Sci. 64 (1988) 352–355] have universal covers M ˜ not satisfying the visibility axiom. This disproves a conjecture of Eberlein for dimension n ⩾ 3 .