3 papers
math.DG2026
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…
math.DG2026
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…
math.DG2026
Higher genus Angel surfaces
Rivu Bardhan, Indranil Biswas, Shoichi Fujimori +1
We prove the existence of complete minimal surfaces in of arbitrary genus and least total absolute curvature with precisely two ends -- one catenoidal…