328 citations · 682 across the 29 of their papers we have counts for
Showing 2001Show all
2 papers · 1 filter
math.GT2001★ 201 cited
On the Minimum Ropelength of Knots and Links
Jason Cantarella, Rob Kusner, John M Sullivan
The ropelength of a knot is the quotient of its length and its thickness, the radius of the largest embedded normal tube around the knot. We prove existence and regularity for rope…
math.DG2001★ 2 cited
Triunduloids: Embedded constant mean curvature surfaces with three ends and genus zero
Karsten Grosse-Brauckmann, Robert B Kusner, John M Sullivan
In 1841, Delaunay constructed the embedded surfaces of revolution with constant mean curvature (CMC); these unduloids have genus zero and are now known to be the only embedded CMC…