English

A Weierstrass type representation for minimal surfaces in Sol

Differential Geometry 2007-05-23 v1

Abstract

The normal Gauss map of a minimal surface in the model space Sol of solvegeometry is a harmonic map with respect to a certain singular Riemannian metric on the extended complex plane.

Keywords

Cite

@article{arxiv.math/0609722,
  title  = {A Weierstrass type representation for minimal surfaces in Sol},
  author = {Jun-ichi Inoguchi and Sungwook Lee},
  journal= {arXiv preprint arXiv:math/0609722},
  year   = {2007}
}