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Embedded triply periodic zero mean curvature surfaces of mixed type in Lorentz-Minkowski 3-space. (English) Zbl 1301.53056

Authors’ abstract: We construct embedded triply periodic zero mean curvature surfaces of mixed type in the Lorentz-Minkowski \(3\)-space \(\mathbb R^3_1\) with the same topology as the Schwarz D-type surface in the Euclidean \(3\)-space \(\mathbb R^3\).

MSC:

53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53B30 Local differential geometry of Lorentz metrics, indefinite metrics
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References:

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