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}
}
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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