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.
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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.