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Results tagged with hyperbolic-geometry
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user 101335
4
votes
1
answer
822
views
Knot complements with respect to Thurston's 8 geometries
We can put knot complements in three buckets: hyperbolic knots, satellite knots, and torus knots.
Can this classification be made with looking at the (complete) metric on the complement, if it has cur …
- 1,465
6
votes
1
answer
2k
views
Definition of cusped manifold?
There is much talk about hyperbolic cusped 3-manifolds, but almost no definition of what a cusped manifold is.
One definition I found was that it is a result of a parabolic transformation on H^n, fix …
- 1,465
2
votes
2
answers
298
views
Complement of figure 8 knot - zero vertex [closed]
Thurston in "3-dimensional Geometry and Topology" explicitely creates the hyperbolic complement of the figure 8 knot by glueing two ideal tetrahedra.
What I do not understand is that he pushes the kno …
- 1,465