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