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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].

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
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