Images of Harmonic Maps with Symmetry

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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.
23 pages

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Differential Geometry, 53C43

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http://salesiana.dossiersoluciones.com/handle/123456789/74304

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0502509
 http://arxiv.org/abs/math/0502509

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arXiv