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math.DG2009
Double-periodic maximal surfaces with singularities
Vladimir V. Sergienko, Vladimir G. Tkachev
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 -matrices…
math.DG2009
Entire one-periodic maximal surfaces
Vladimir V. Sergienko, Vladimir G. Tkachev
In the present paper we study two-dimensional maximal surfaces with harmonic level-sets. As a corollary we obtain a new class of one-periodic maximal surfaces.