72 citations · 82 across the 5 of their papers we have counts for
Showing math.DGShow all
3 papers · 1 filter
math.DG2004★ 1 cited
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…
math.DG2004
Some Ropelength-Critical Clasps
John M. Sullivan, Nancy C. Wrinkle
We describe several configurations of clasped ropes which are balanced and thus critical for the Gehring ropelength problem of arXiv:math.DG/0402212.
math.DG2001
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…