Fujimori, Shoichi Triply periodic zero mean curvature surfaces in Lorentz-Minkowski 3-space. (English) Zbl 1426.53015 Izumiya, Shyuichi (ed.) et al., Singularities in generic geometry. Proceedings of the 4th workshop on singularities in generic geometry and applications (Valencia IV), Kobe, Japan, June 3–6, 2015 and Kyoto, Japan, June 8–10, 2015. Tokyo: Mathematical Society of Japan (MSJ). Adv. Stud. Pure Math. 78, 201-219 (2018). Based on the conjugate surfaces of the triply periodic minimal surfaces in the Euclidean 3-space called the Schwarz H surfaces, the author constructs a new 1-parameter family of triply periodic zero mean curvature surfaces in the Lorentz-Minkowski 3-space with the same topology and symmetry as the Schwarz rPD minimal surfaces, see [H. Chen, “Minimal twin surfaces”, Preprint, arXiv:1610.07926].For the entire collection see [Zbl 1407.58001]. Reviewer: Atsushi Fujioka (Osaka) Cited in 1 Document MSC: 53A10 Minimal surfaces in differential geometry, surfaces with prescribed mean curvature 53A35 Non-Euclidean differential geometry 53C50 Global differential geometry of Lorentz manifolds, manifolds with indefinite metrics Keywords:zero mean curvature; triply periodic surface; fold singularity PDFBibTeX XMLCite \textit{S. Fujimori}, Adv. Stud. Pure Math. 78, 201--219 (2018; Zbl 1426.53015) Full Text: arXiv