Minimal surface systems, maximal surface systems, and special Lagrangian equations

Abstract

We extend Osserman's lemma on the generalized Gauss map of two-dimensional minimal graphs of higher codimension, construct a Jenkins-Serrin type special Lagrangian Scherk graph explicitly, and generalize Calabi's correspondence between minimal graphs and maximal graphs.

23 pages. To appear in Trans. Amer. Math. Soc