Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space

Fujimori, Shoichi

doi:10.2969/aspm/07810201

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

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.