Abstract
In this paper, we study helicoidal surfaces without parabolic points in the 3-dimensional Lorentz–Minkowski space under the condition ΔIIri = λiri where ΔII is the Laplace operator with respect to the second fundamental form and λi 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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