Abstract
In this paper we classify the factorable surfaces in the three-dimensional Euclidean space \({\mathbb{E}^{3}}\) and Lorentzian \({\mathbb{E}_{1}^{3}}\) under the condition Δr i = λ i r i , where \({\lambda_{i}\in\mathbb{R}}\) and Δ denotes the Laplace operator and we obtain the complete classification for those ones.
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Bekkar, M., Senoussi, B. Factorable surfaces in the three-dimensional Euclidean and Lorentzian spaces satisfying Δr i = λ i r i . J. Geom. 103, 17–29 (2012). https://doi.org/10.1007/s00022-012-0117-3
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DOI: https://doi.org/10.1007/s00022-012-0117-3