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Onnis, Paola Piu","submitted_at":"2017-05-29T09:38:03Z","abstract_excerpt":"In this work, we study helix spacelike and timelike surfaces in the Lorentzian Berger sphere $\\s_{\\varepsilon}^3$, that is the three-dimensional sphere endowed with a $1$-parameter family of Lorentzian metrics, obtained by deforming the round metric on $\\s^3$ along the fibers of the Hopf fibration $\\s^3\\to \\s^2({1}/{2})$ by $-\\varepsilon^2$. Our main result provides a characterization of the helix surfaces in $\\s_{\\varepsilon}^3$ using the symmetries of the ambient space and a general helix in $\\s_{\\varepsilon}^3$, with axis the infinitesimal generator of the Hopf fibers. 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