A note on non-uniform lattices in negatively curved, non-visibility manifolds. (English) Zbl 1401.53026
The author proves that for each dimension \(n\geq \)3, the class of negatively curved manifolds \(M^n\) of finite volume that were constructed by K. Fujiwara [Proc. Japan Acad., Ser. A 64, No. 9, 352–355 (1988; Zbl 0668.53028)], have universal covers \(\tilde{M}\) not satisfying the visibility axiom. This disproves a conjecture of Eberlein for dimension \(n\geq 3\) posed in [P. Eberlein, Ann. Math. (2) 111, 435–476 (1980; Zbl 0401.53015)].
Reviewer: Andreas Arvanitoyeorgos (Patras)
MSC:
| 53C20 | Global Riemannian geometry, including pinching |
References:
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