Parabolic surfaces in hyperbolic space with constant Gaussian curvature
Rafael López
Source: Bull. Belg. Math. Soc. Simon Stevin Volume 16, Number 2 (2009), 337-349.
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.
Primary Subjects: 53A10, 53C45
Keywords: hyperbolic space; parabolic surface; Gaussian curvature
Full-text: Access denied (no subscription detected)
We're sorry, but we are unable to provide you with the full text of this article because we are not able to identify you as a subscriber.
If you have a personal subscription to this journal, then please login. If you are already logged in, then you may need to update your profile to register your subscription. Read more about accessing full-text
Links and Identifiers
Permanent link to this document: http://projecteuclid.org/euclid.bbms/1244038144
Bulletin of the Belgian Mathematical Society - Simon Stevin
