Tohoku Mathematical Journal
2004
March
SECOND SERIES VOL. 56, NO. 1

Tohoku Math. J.
56 (2004), 27-64

Title MEROMORPHIC DATA FOR MEAN CURVATURE ONE SURFACES IN HYPERBOLIC THREE-SPACE

Author Ricardo Sa Earp and Eric Toubiana

(Received February 12, 2002, revised June 20, 2003)
Abstract. In this paper we construct meromorphic data and prove a representation theorem for mean curvature one conformal immersions into the hyperbolic three-space. We also give various examples.

2000 Mathematics Subject Classification. Primary 53A35; Secondary 53A10.
Key words and phrases. Hyperbolic space, half-space model, mean curvature one conformal immersion, euclidean Gauss map, hyperbolic Gauss map.

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