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

Helix surfaces in the Berger sphere

MONTALDO, STEFANO;ONNIS I. I.
2014-01-01

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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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/56823
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