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arXiv · 1206.1274

Helix surfaces in the Berger Sphere

Stefano Montaldo·Irene I. Onnis
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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.

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Stefano Montaldo, Irene I. Onnis. 2013-05-13. Helix surfaces in the Berger Sphere. https://arxiv.org/abs/1206.1274

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