VOL. 82 | 2019 A reducibility for a triply periodic minimal surface
Chapter Author(s) Toshihiro Shoda
Editor(s) Toshihiro Shoda, Kazuhiro Shibuya
Adv. Stud. Pure Math., 2019: 41-55 (2019) DOI: 10.2969/aspm/08210041

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

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