On finite volume, negatively curved manifolds

Details On finite volume, negatively curved manifolds On finite volume, negatively curved manifolds

2011-10-18

arxiv.org/abs/1110.4087v2

Mathematics

Differential Geometry

18 pages

Scientific paper

We study noncompact, complete, finite volume, negatively curved manifolds $M$. We construct $M$ with infinitely generated fundamental groups in all dimensions $n \geq 2$. We construct $M$ whose cusp cross sections are compact hyperbolic manifolds in all dimension $n\geq 3$. In contrast we show that if sectional curvature $-1

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