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VOL. 78 | 2018 Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space
Shoichi Fujimori

Editor(s) Shyuichi Izumiya, Goo Ishikawa, Minoru Yamamoto, Kentaro Saji, Takahiro Yamamoto, Masatomo Takahashi

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

Rights: Copyright © 2018 Mathematical Society of Japan

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