Geodesic
Zero mean curvature surfaces of mixed type in Minkowski space
Izvestiya. Mathematics , Tome 67 (2003) no. 2, pp. 209-224.

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We investigate zero mean curvature surfaces in the Minkowski space ${\mathbb R}^3_1$ such that their first fundamental quadratic form changes signature. Part of such a surface is space-like and part is time-like. We obtain complete information about the structure of the set of points where the surface changes type and prove the related existence and uniqueness theorems. 
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V. A. Klyachin. Zero mean curvature surfaces of mixed type in Minkowski space. Izvestiya. Mathematics , Tome 67 (2003) no. 2, pp. 209-224. http://geodesic.mathdoc.fr/item/IM2_2003_67_2_a1/

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