arXiv subjects

Hojoo Lee

Publications and source records attributed to Hojoo Lee.

20 records · Page 2Linked to original sources

arXiv2012

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

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.

math.DG↗

arXiv2011

Extensions of Calabi's correspondence between minimal surfaces and maximal surfaces

The main goal of this survey is to illustrate geometric applications of the Poincaré Lemma to constant mean curvature equations. In 1970, Calabi introduced the duality between minimal graphs in three dimensional Euclidean space and maximal graphs in three dimensional Lorentz space. We construct two extensions of Calabi's correspondence.

math.DG↗