On the geometric boundaries of hyperbolic 4{manifolds
By Darren D. Long, Alan W. Reid. 2000
79 citations recorded by the source corpus.
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.
Subfields: Applied Mathematics, Geometry and Topology
View Paper: https://www.semanticscholar.org/paper/d105d81ba088514ef6ca9f0ff0dbc66b74f707dd
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In Applied Mathematics
In Geometry and Topology
Citations in the corpus
- All flat manifolds are cusps of hyperbolic orbifolds (2002, background): “In this generality, the question has a positive answer in dimension 2, that is, for the torus and Klein bottle, but as is shown in [10] is false in dimension 3 (and indeed in all dimensions 4k − 1 ≥ 3).”