Canonical Weierstrass representations are obtained for maximal space-like surfaces in R^4_2, solving the natural PDE system explicitly with pairs of holomorphic functions and linking them to maximal surfaces in 3D Minkowski space.
Kanchev (2014) Explicit solving of the system of natural PDE's of minimal surfaces in the four-dimensional Euclidean space, C
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Canonical Weierstrass Representations for Maximal Space-like Surfaces in $\RR^4_2$
Canonical Weierstrass representations are obtained for maximal space-like surfaces in R^4_2, solving the natural PDE system explicitly with pairs of holomorphic functions and linking them to maximal surfaces in 3D Minkowski space.