Abstract
In this paper, we study helicoidal surfaces without parabolic points in the 3-dimensional Lorentz–Minkowski space under the condition ΔII r i = λ i r i where ΔII is the Laplace operator with respect to the second fundamental form and λ i is a real number. We prove that there are no helicoidal surfaces without parabolic points in the 3-dimensional Lorentz–Minkowski space satisfying that condition.
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Baba-Hamed, C., Bekkar, M. Helicoidal surfaces in the three-dimensional Lorentz–Minkowski space satisfying ΔII r i = λ i r i . J. Geom. 100, 1 (2011). https://doi.org/10.1007/s00022-011-0074-2
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DOI: https://doi.org/10.1007/s00022-011-0074-2