Minimal surface systems, maximal surface systems, and special Lagrangian equations
Differential Geometry
2012-04-03 v1 Analysis of PDEs
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.
Cite
@article{arxiv.1204.0244,
title = {Minimal surface systems, maximal surface systems, and special Lagrangian equations},
author = {Hojoo Lee},
journal= {arXiv preprint arXiv:1204.0244},
year = {2012}
}
Comments
23 pages. To appear in Trans. Amer. Math. Soc