Abstract
In this paper, we define a reducibility for a triply periodic minimal surface, and study hyperelliptic minimal surfaces and trigonal minimal surfaces in terms of the reducibility. Restrictions on the topological type of the above minimal surfaces are given.
Information
Published: 1 January 2019
First available in Project Euclid: 27 November 2019
zbMATH: 07270869
Digital Object Identifier: 10.2969/aspm/08210041
Subjects:
Primary:
53A10
Secondary:
49Q05
Keywords:
flat tori
,
minimal surfaces
Rights: Copyright © 2019 Mathematical Society of Japan