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

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

2012-04-01

arxiv.org/abs/1204.0244v1

Mathematics

Differential Geometry

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

Scientific paper

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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