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Results tagged with 3-manifolds
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user 5413
A three-manifold is a space that locally looks like Euclidean three-dimensional space
18
votes
3
answers
1k
views
How to see isometries of figure 8 knot complement
The figure 8 knot complement $M$ is the orientable double cover of the Gieseking manifold, which implies that $M$ has a fixed-point free involution. If we think of $M$ with its hyperbolic metric, this …
- 518
14
votes
Accepted
Heegaard splitting of covering hyperbolic manifold.
There are examples like this. Check out section 4.5 of Shalen's paper "Hyperbolic volume, Heegaard genus and ranks of groups." It's here: http://arxiv.org/abs/0904.0191
He gives a reference for a gen …
- 518
8
votes
1
answer
970
views
When are isometry groups of hyperbolic 3-manifolds finite?
If $M$ is a finite volume hyperbolic 3-manifold, then its isometry group is finite. I believe this is also true for geometrically finite 3-manifolds. What is the most general condition on a hyperbolic …
- 518