Helix surfaces in the Berger sphere |
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| Authors: | Stefano Montaldo Irene I Onnis |
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| Institution: | 1. Dipartimento di Matematica e Informatica, Università degli Studi di Cagliari, Via Ospedale 72, 09124, Cagliari, Italy
2. Departamento de Matemática, ICMC/USP-Campus de S?o Carlos, Caixa Postal 668, 13560-970, S?o Carlos, SP, Brazil
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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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