2 citations · 3 across the 3 of their papers we have counts for
4 papers
When Soap Bubbles Collide
Colin Adams, Frank Morgan, John M Sullivan
Can you fill R^n with a froth of "soap bubbles" that meet at most n at a time? Not if they have bounded diameter, as follows from Lebesgue's Covering Theorem. We provide some relat…
Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements II
Colin Adams, Hanna Bennett, Christopher Davis +4
We generalize the results of [AS], finding large classes of totally geodesic Seifert surfaces in hyperbolic knot and link complements, each the lift of a rigid 2-orbifold embedded…
Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I
Colin Adams, Eric Schoenfeld
The first examples of totally geodesic Seifert surfaces are constructed for hyperbolic knots and links, including both free and totally knotted surfaces. Then it is proved that two…
Simple Closed Geodesics in Hyperbolic 3-Manifolds
Colin Adams, Joel Hass, Peter Scott
This paper determines which orientable hyperbolic 3-manifolds contain simple closed geodesics. The Fuchsian group corresponding to the thrice-punctured sphere generates the only ex…