Volume 4, issue 1 (2000)

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On the geometric boundaries of hyperbolic 4–manifolds

Darren D Long and Alan W Reid

Geometry & Topology 4 (2000) 171–178
 arXiv: math.GT/0007197
Abstract

We provide, for hyperbolic and flat 3–manifolds, obstructions to bounding hyperbolic 4–manifolds, thus resolving in the negative a question of Farrell and Zdravkovska.

Keywords
hyperbolic 3–manifold, flat manifold, totally geodesic, $\eta$–invariant
Primary: 57R90
Secondary: 57M50