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arXiv · 0903.1368

Double-periodic maximal surfaces with singularities

Vladimir V. Sergienko·Vladimir G. Tkachev
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Abstract

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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Vladimir V. Sergienko, Vladimir G. Tkachev. 2009-03-07. Double-periodic maximal surfaces with singularities. https://arxiv.org/abs/0903.1368

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