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arxiv: 1204.0244 · v1 · pith:6U6DGDE6new · submitted 2012-04-01 · 🧮 math.DG · math.AP

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

classification 🧮 math.DG math.AP
keywords graphsminimallagrangianmaximalspecialsurfacesystemscalabi
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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.

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