arXiv:math/0502509 Abstract

arXiv:math/0502509 [math.DG]Abstract References Reviews Resources

Images of Harmonic Maps with Symmetry

Published 2005-02-24Version 1

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.

Comments: 23 pages

Categories: math.DG

Subjects: 53C43

Keywords: harmonic maps, complete harmonic embeddings, hyperbolic plane, corresponding hopf differentials, horizontal measured foliation

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