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2004 Meromorphic data for mean curvature one surfaces in hyperbolic three-space
Ricardo Sa Earp, Eric Toubiana
Tohoku Math. J. (2) 56(1): 27-64 (2004). DOI: 10.2748/tmj/1113246380

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.

Citation

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Ricardo Sa Earp. Eric Toubiana. "Meromorphic data for mean curvature one surfaces in hyperbolic three-space." Tohoku Math. J. (2) 56 (1) 27 - 64, 2004. https://doi.org/10.2748/tmj/1113246380

Information

Published: 2004
First available in Project Euclid: 11 April 2005

zbMATH: 1063.53010
MathSciNet: MR2028917
Digital Object Identifier: 10.2748/tmj/1113246380

Subjects:
Primary: 53A10
Secondary: 53A35

Keywords: euclidean Gauss map , half-space model , hyperbolic Gauss map , Hyperbolic space , mean curvature one conformal immersion

Rights: Copyright © 2004 Tohoku University

Vol.56 • No. 1 • 2004
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