Helices in the Euclidean 5-Space

Melek Masal; Ayse Zeynep Azak

Helices in the Euclidean 5-Space

Differential Geometry 2014-02-14 v1

Authors: Melek Masal , Ayse Zeynep Azak

Abstract

In this study, we have identified $V_3$ slant helix ( $2^{nd}$ type slant helix, $V_5$ slant helix ( $3^{rd}$ type slant helix) and attained some characteristic properties in the Euclidean 5-Space $E^5$ . In addition to this, we have proven that there are no other helices other than $V_1$ helix (inclined curve), $V_3$ slant helix and $V_5$ slant helix in the 5-dimensional Euclidean space $E^5$ .

Keywords

differential geometry of surfaces and curves in euclidean space

Cite

@article{arxiv.1402.3099,
  title  = {Helices in the Euclidean 5-Space},
  author = {Melek Masal and Ayse Zeynep Azak},
  journal= {arXiv preprint arXiv:1402.3099},
  year   = {2014}
}

Comments

7 pages

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