Parabolic surfaces in hyperbolic space with constant Gaussian curvature
López, Rafael
Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, p. 337-349 / Harvested from Project Euclid
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A parabolic surface in hyperbolic space $\mathbb H^3$ is a surface invariant by a group of parabolic isometries. In this paper we describe all parabolic surfaces with constant Gaussian curvature. We study the qualitative properties such as completeness and embeddedness.
Publié le : 2009-05-15
Classification:  hyperbolic space,  parabolic surface,  Gaussian curvature,  53A10,  53C45 
@article{1244038144,
     author = {L\'opez, Rafael},
     title = {Parabolic surfaces in hyperbolic space with constant Gaussian curvature},
     journal = {Bull. Belg. Math. Soc. Simon Stevin},
     volume = {16},
     number = {1},
     year = {2009},
     pages = { 337-349},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1244038144}
}

López, Rafael. Parabolic surfaces in hyperbolic space with constant Gaussian curvature. Bull. Belg. Math. Soc. Simon Stevin, Tome 16 (2009) no. 1, pp.  337-349. http://gdmltest.u-ga.fr/item/1244038144/