Images of Harmonic Maps with Symmetry

Details Images of Harmonic Maps with Symmetry Images of Harmonic Maps with Symmetry

2005-02-24

arxiv.org/abs/math/0502509v1

Mathematics

Differential Geometry

23 pages

Scientific paper

We show that under certain symmetry, the images of complete harmonic
embeddings from the complex plane into the hyperbolic plane is completely
determined by the geometric information of the vertical measured foliation and
is independent of the horizontal measured foliation of the corresponding Hopf
differentials.

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