Genus three embedded doubly periodic minimal surfaces with parallel ends

Differential Geometry and its Applications 2026 Open access

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Authors: Peter Connor, Shoichi Fujimori, Phillip Marmorino, Toshihiro Shoda
DOI: 10.1016/j.difgeo.2026.102382
Cited by: 0
References: 7

Abstract

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 given and the two dimensional period problem is solved.

Fields of Study & Subjects

Analytic and geometric function theory Geometric Analysis and Curvature Flows Advanced Mathematical Modeling in Engineering

Publication details

Journal / source
Differential Geometry and its Applications
Publisher
Elsevier BV
Volume
103
Pages
102382–102382
Publication date
20 April 2026
Language
EN