Tohoku Mathematical Journal
2005
September
SECOND SERIES VOL. 57, NO. 3

Tohoku Math. J.
57 (2005), 321-333

Title IMAGES OF HARMONIC MAPS WITH SYMMETRY

Author Thomas K. K. Au and Tom Y. H. Wan

(Received September 19, 2003, revised January 5, 2005)
Abstract. 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.

2000 Mathematics Subject Classification. Primary 53C43.

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