Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends
Yu, Zuhuan
Tohoku Math. J. (2), Tome 53 (2001) no. 4, p. 305-318 / Harvested from Project Euclid
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We investigate surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends, and prove that their irregular ends must self-intersect, which answers affirmatively a conjecture of Umehara and Yamada. Moreover we also obtain an explicit representation of a constant mean curvature one surface and a new minimal surface in the Euclidean three-space.
Publié le : 2001-05-14
Classification:  53A10,  53A35 
@article{1178207483,
     author = {Yu, Zuhuan},
     title = {Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends},
     journal = {Tohoku Math. J. (2)},
     volume = {53},
     number = {4},
     year = {2001},
     pages = { 305-318},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1178207483}
}

Yu, Zuhuan. Surfaces of constant mean curvature one in the hyperbolic three-space with irregular ends. Tohoku Math. J. (2), Tome 53 (2001) no. 4, pp.  305-318. http://gdmltest.u-ga.fr/item/1178207483/