2 citations · 3 across the 9 of their papers we have counts for
12 papers
Singly periodic maximal graphs with isolated singularities in Lorentz-Minkowski 3-space
Peter Connor, Shoichi Fujimori
Utilizing the Weierstrass representation for embedded doubly periodic minimal surfaces with parallel ends, we construct entire singly periodic graphs of spacelike maximal surfaces…
Catenoid limits of singly periodic minimal surfaces with Scherk-type ends
Hao Chen, Peter Connor, Kevin Li
We construct families of embedded, singly periodic minimal surfaces of any genus in the quotient with any even number of almost parallel Scherk ends. A surface in such a…
Genus three embedded doubly periodic minimal surfaces with parallel ends
Peter Connor, Shoichi Fujimori, Phillip Marmorino +1
We construct a one-parameter family of embedded doubly periodic minimal surfaces of genus three with four parallel ends. The Weierstrass data for each surface of the family are giv…
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…
A vase of catenoids
Peter Connor
In this note we construct a vase of catenoids - a symmetric immersed minimal surface with planar and catenoid ends.
An end-to-end construction of doubly periodic minimal surfaces
Peter Connor, Kevin Li
Using Traizet's regeneration method, we prove that for each positive integer n there is a family of embedded, doubly periodic minimal surfaces with parallel ends in Euclidean space…