English

Characterizations of Slant Ruled Surfaces in the Euclidean 3-space

Differential Geometry 2013-11-28 v1

Abstract

In this study, we give the relationships between the conical curvatures of ruled surfaces drawn by the unit vectors of the ruling, central normal and central tangent of a regular ruled surface in the Euclidean -space. We obtain the differential equations characterizing slant ruled surfaces and if the reference ruled surface is a slant ruled surface, we give some conditions for the surfaces drawn by the central normal and the central tangent vectors to be slant ruled surfaces.

Keywords

Cite

@article{arxiv.1311.6928,
  title  = {Characterizations of Slant Ruled Surfaces in the Euclidean 3-space},
  author = {Mehmet Önder and Onur Kaya},
  journal= {arXiv preprint arXiv:1311.6928},
  year   = {2013}
}

Comments

arXiv admin note: text overlap with arXiv:1311.0625