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.
Publié le : 2004-03-14
Classification:
Hyperbolic space,
half-space model,
mean curvature one conformal immersion,
euclidean Gauss map,
hyperbolic Gauss map,
53A10,
53A35
@article{1113246380,
author = {Sa Earp, Ricardo and Toubiana, Eric},
title = {Meromorphic data for mean curvature one surfaces in hyperbolic three-space},
journal = {Tohoku Math. J. (2)},
volume = {56},
number = {1},
year = {2004},
pages = { 27-64},
language = {en},
url = {http://dml.mathdoc.fr/item/1113246380}
}
Sa Earp, Ricardo; Toubiana, Eric. Meromorphic data for mean curvature one surfaces in hyperbolic three-space. Tohoku Math. J. (2), Tome 56 (2004) no. 1, pp. 27-64. http://gdmltest.u-ga.fr/item/1113246380/