Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II
Rossman, Wayne ; Umehara, Masaaki ; Yamada, Kotaro
Tohoku Math. J. (2), Tome 55 (2003) no. 2, p. 375-395 / Harvested from Project Euclid
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In this work, complete constant mean curvature $1$ (\cmcone{}) surfaces in hyperbolic $3$-space with total absolute curvature at most $4\pi$ are classified. This classification suggests that the Cohn-Vossen inequality can be sharpened for surfaces with odd numbers of ends, and a proof of this is given.
Publié le : 2003-09-14
Classification:  53A10 
@article{1113247480,
     author = {Rossman, Wayne and Umehara, Masaaki and Yamada, Kotaro},
     title = {Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II},
     journal = {Tohoku Math. J. (2)},
     volume = {55},
     number = {2},
     year = {2003},
     pages = { 375-395},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113247480}
}

Rossman, Wayne; Umehara, Masaaki; Yamada, Kotaro. Mean curvature 1 surfaces in hyperbolic 3-space with low total curvature. II. Tohoku Math. J. (2), Tome 55 (2003) no. 2, pp.  375-395. http://gdmltest.u-ga.fr/item/1113247480/