Mathematics – Differential Geometry
Scientific paper
2009-03-07
Siberian Adv. Math., 12 (2002), no. 1, 77-91
Mathematics
Differential Geometry
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.
Sergienko Vladimir V.
Tkachev Vladimir G.
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