Open Access
May 2009 Parabolic surfaces in hyperbolic space with constant Gaussian curvature
Rafael López
Bull. Belg. Math. Soc. Simon Stevin 16(2): 337-349 (May 2009). DOI: 10.36045/bbms/1244038144

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.

Citation

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Rafael López. "Parabolic surfaces in hyperbolic space with constant Gaussian curvature." Bull. Belg. Math. Soc. Simon Stevin 16 (2) 337 - 349, May 2009. https://doi.org/10.36045/bbms/1244038144

Information

Published: May 2009
First available in Project Euclid: 3 June 2009

zbMATH: 1173.53026
MathSciNet: MR2541046
Digital Object Identifier: 10.36045/bbms/1244038144

Subjects:
Primary: 53A10 , 53C45

Keywords: Gaussian curvature , Hyperbolic space , parabolic surface

Rights: Copyright © 2009 The Belgian Mathematical Society

Vol.16 • No. 2 • May 2009
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