A Weierstrass Type Representation for Minimal Surfaces in Sol

Authors

Jun-Ichi Inoguchi, Utsunomiya UniversityFollow
Sungwook Lee, University of Southern MississippiFollow

Document Type

Article

Publication Date

2008

Department

Mathematics

School

Mathematics and Natural Sciences

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.

Publication Title

Proceedings of the American Mathematical Society

Volume

136

Issue

6

First Page

2209

Last Page

2216

Recommended Citation

Inoguchi, J., Lee, S. (2008). A Weierstrass Type Representation for Minimal Surfaces in Sol. Proceedings of the American Mathematical Society, 136(6), 2209-2216.
Available at: https://aquila.usm.edu/fac_pubs/1517