## Bulletin of the Belgian Mathematical Society - Simon Stevin

### Parabolic surfaces in hyperbolic space with constant Gaussian curvature

Rafael López

#### Abstract

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.

#### Article information

Source
Bull. Belg. Math. Soc. Simon Stevin, Volume 16, Number 2 (2009), 337-349.

Dates
First available in Project Euclid: 3 June 2009

https://projecteuclid.org/euclid.bbms/1244038144

Digital Object Identifier
doi:10.36045/bbms/1244038144

Mathematical Reviews number (MathSciNet)
MR2541046

Zentralblatt MATH identifier
1173.53026

#### Citation

López, Rafael. Parabolic surfaces in hyperbolic space with constant Gaussian curvature. Bull. Belg. Math. Soc. Simon Stevin 16 (2009), no. 2, 337--349. doi:10.36045/bbms/1244038144. https://projecteuclid.org/euclid.bbms/1244038144