Double-periodic maximal surfaces with singularities

Mathematics – Differential Geometry

Scientific paper

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An full version in English of "Doubly periodic maximal surfaces with singularities" (in Russian). Proceedings on Analysis and

Scientific paper

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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