English

Projections from surfaces of revolution in the Euclidean plane

Differential Geometry 2020-07-21 v1

Abstract

For a specific class of surfaces of revolution S, the existence of a smooth map {\Phi} from a neighbourhood U of S to the Euclidean plane E2 preserving distances infinitesimally along the meridians and the parallels of S and sending the meridional arcs of U \ S to straight lines of E2; is proven.

Keywords

Cite

@article{arxiv.2007.09503,
  title  = {Projections from surfaces of revolution in the Euclidean plane},
  author = {C. Charitos and P. Dospra},
  journal= {arXiv preprint arXiv:2007.09503},
  year   = {2020}
}

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