•  
  •  
 

Turkish Journal of Mathematics

Abstract

In this paper we generalize the notion of helix in the three-dimensional Euclidean space, which we define as that curve $\alpha$ for which there is an $F$-constant vector field $W$ along $\alpha$ that forms a constant angle with a fixed direction $V$ (called an axis of the helix). We find the natural equation and the geometric integration of helices $\alpha$ where the $F$-constant vector field $W$ is orthogonal to its axis.

DOI

10.55730/1300-0098.3418

Keywords

Helix, osculating helix, normal helix, rectifying helix, Darboux vector, $F$-constant vector field

First Page

1158

Last Page

1168

Plum Print visual indicator of research metrics
PlumX Metrics
  • Citations
    • Citation Indexes: 3
  • Usage
    • Downloads: 274
    • Abstract Views: 258
see details

Included in

Mathematics Commons

Share

COinS