# Helix surfaces in the Berger sphere

@article{Montaldo2012HelixSI,
title={Helix surfaces in the Berger sphere},
author={S. Montaldo and I. Onnis},
journal={Israel Journal of Mathematics},
year={2012},
volume={201},
pages={949-966}
}
• Published 2012
• Mathematics
• Israel Journal of Mathematics
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.

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