3 papers
math.DG2016
A note on balance equations for doubly periodic minimal surfaces
Peter Connor
Most known examples of doubly periodic minimal surfaces in with parallel ends limit as a foliation of by horizontal noded planes, with the location of…
math.DG2016
A note on special polynomials and minimal surfaces
Peter Connor
When using Traizet's regeneration technique to construct minimal surfaces, the simplest nontrivial configurations are given as the roots of polynomials that satisfy a hypergeometri…
math.DG2016
Higher genus doubly periodic minimal surfaces
Peter Connor
We construct Weierstrass data for higher genus embedded doubly periodic minimal surfaces and present numerical evidence that the associated period problem can be solved. In the ort…