On harmonic quasiconformal immersions of surfaces in $\mathbb{R}^3$
Differential Geometry
2011-07-04 v2
Abstract
This paper is devoted to the study of the global properties of harmonically immersed Riemann surfaces in We focus on the geometry of complete harmonic immersions with quasiconformal Gauss map, and in particular, of those with finite total curvature. We pay special attention to the construction of new examples with significant geometry.
Keywords
Cite
@article{arxiv.1102.4260,
title = {On harmonic quasiconformal immersions of surfaces in $\mathbb{R}^3$},
author = {Antonio Alarcon and Francisco J. Lopez},
journal= {arXiv preprint arXiv:1102.4260},
year = {2011}
}
Comments
27 pages, 7 figures. Minor changues. To appear in Trans. Amer. Math. Soc