Constant angle surfaces in the Heisenberg group
Differential Geometry
2009-08-03 v1
Abstract
In this article we generalize the notion of constant angle surfaces in S^2 x R and H^2 x R to general Bianchi-Cartan-Vranceanu spaces, i.e. essentially to three-dimensional homogeneous spaces with a four-dimensional isometry group. We show that these surfaces have constant Gaussian curvature and we give a complete local classification in the Heisenberg group.
Cite
@article{arxiv.0907.5528,
title = {Constant angle surfaces in the Heisenberg group},
author = {Johan Fastenakels and Marian Ioan Munteanu and Joeri Van der Veken},
journal= {arXiv preprint arXiv:0907.5528},
year = {2009}
}