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arxiv: 0903.1368 · v1 · submitted 2009-03-07 · 🧮 math.DG · math.CV

Double-periodic maximal surfaces with singularities

classification 🧮 math.DG math.CV
keywords solutionsdouble-periodicmatricesmaximalsingularitiestypealmostconstruct
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We construct and study a family of double-periodic almost entire solutions of the maximal surface equation. The solutions are parameterized by a submanifold of $3\times 3$-matrices (the so-called generating matrices). We show that the constructed solutions are either space-like or of mixed type with the light-cone type isolated singularities.

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