Mathematics – Differential Geometry
Scientific paper
2011-02-21
Mathematics
Differential Geometry
27 pages, 7 figures. Minor changues. To appear in Trans. Amer. Math. Soc
Scientific paper
This paper is devoted to the study of the global properties of harmonically
immersed Riemann surfaces in $\mathbb{R}^3.$ 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.
Alarcon Antonio
Lopez Francisco J.
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