Constant curvature translation surfaces in Galilean 3-space

2017/02/02 by Ogrenmis, Alper Osman, Kulahci, Mihriban, Aydin, Muhittin Evren
#53A35 #53B25 #53C42 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1702.00658

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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• Classifications of translation surfaces in isotropic geometry with constant curvature
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