Ramification estimates for the hyperbolic Gauss map
Kawakami, Yu
Osaka J. Math., Tome 46 (2009) no. 1, p. 1059-1076 / Harvested from Project Euclid
Text on Project Euclid
PDF
Alt PDF
We give the best possible upper bound on the number of exceptional values and the totally ramified value number of the hyperbolic Gauss map for pseudo-algebraic constant mean curvature one surfaces in the hyperbolic three-space and some partial results on the Osserman problem for algebraic case. Moreover, we study the value distribution of the hyperbolic Gauss map for complete constant mean curvature one faces in de Sitter three-space.
Publié le : 2009-12-15
Classification:  53A10,  30D35,  53A35,  53C42 
@article{1260892840,
     author = {Kawakami, Yu},
     title = {Ramification estimates for the hyperbolic Gauss map},
     journal = {Osaka J. Math.},
     volume = {46},
     number = {1},
     year = {2009},
     pages = { 1059-1076},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1260892840}
}

Kawakami, Yu. Ramification estimates for the hyperbolic Gauss map. Osaka J. Math., Tome 46 (2009) no. 1, pp.  1059-1076. http://gdmltest.u-ga.fr/item/1260892840/