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arXiv · 1702.00658

Constant curvature translation surfaces in Galilean 3-space

Alper Osman Ogrenmis·Mihriban Kulahci·Muhittin Evren Aydin
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Abstract

Total five different types of translation surfaces, based upon planarity of translating curves and the absolute figure, arise in a Galilean 3-space. Excepting the type in which both of translating curves are non-planar we obtain these surfaces with arbitrary constant Gaussian and mean curvature.

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Alper Osman Ogrenmis, Mihriban Kulahci, Muhittin Evren Aydin. 2017-02-02. Constant curvature translation surfaces in Galilean 3-space. https://arxiv.org/abs/1702.00658

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