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A generalization of translation surfaces with constant curvature in the isotropic space

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In this paper we study the translation surfaces generated by a space curve and a planar curve in the isotropic 3-space \({\mathbb{I}^{3}}\). We completely classify such surfaces in \({\mathbb{I}^{3}}\) with constant curvature. Several examples are also given by figures.

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Correspondence to Muhittin Evren Aydin.

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Aydin, M.E. A generalization of translation surfaces with constant curvature in the isotropic space. J. Geom. 107, 603–615 (2016). https://doi.org/10.1007/s00022-015-0292-0

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  • DOI: https://doi.org/10.1007/s00022-015-0292-0

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