Helix surfaces in the Berger Sphere
Differential Geometry
2013-05-14 v2
Abstract
We characterize helix surfaces in the Berger sphere, that is surfaces which form a constant angle with the Hopf vector field. In particular, we show that, locally, a helix surface is determined by a suitable 1-parameter family of isometries of the Berger sphere and by a geodesic of a 2-torus in the 3-dimensional sphere.
Keywords
Cite
@article{arxiv.1206.1274,
title = {Helix surfaces in the Berger Sphere},
author = {Stefano Montaldo and Irene I. Onnis},
journal= {arXiv preprint arXiv:1206.1274},
year = {2013}
}
Comments
The main theorem has been modified and improved. Final version to appear in Israel Journal of Mathematics