Open Access
VOL. 78 | 2018 Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space
Chapter Author(s) Shoichi Fujimori
Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi
Adv. Stud. Pure Math., 2018: 201-219 (2018) DOI: 10.2969/aspm/07810201

Abstract

We construct triply periodic zero mean curvature surfaces of mixed type in the Lorentz-Minkowski 3-space $\mathbb{L}^3$, with the same topology as the triply periodic minimal surfaces in the Euclidean 3-space $\mathbb{R}^3$, called Schwarz rPD surfaces.

Information

Published: 1 January 2018
First available in Project Euclid: 4 October 2018

zbMATH: 1426.53015
MathSciNet: MR3839946

Digital Object Identifier: 10.2969/aspm/07810201

Subjects:
Primary: 53A10
Secondary: 53A35 , 53C50

Keywords: fold singularity , triply periodic surface , zero mean curvature

Rights: Copyright © 2018 Mathematical Society of Japan

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