English

Constant curvature translation surfaces in Galilean 3-space

Differential Geometry 2017-02-03 v1

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.

Keywords

Cite

@article{arxiv.1702.00658,
  title  = {Constant curvature translation surfaces in Galilean 3-space},
  author = {Alper Osman Ogrenmis and Mihriban Kulahci and Muhittin Evren Aydin},
  journal= {arXiv preprint arXiv:1702.00658},
  year   = {2017}
}