Open Access
Article
On T-Slant, N-Slant and B-Slant helices in galilean space 𝔾3
- Received:
- 04 Nov 2017
- Accepted:
- 12 Dec 2017
- Published Online:
- 30 Oct 2018
- Article type:
- Article
- Language:
- EN
- Article no.:
- 1726037X.2018.1436271
- Pages:
- 187–199
Abstract
In this paper, we define T-slant, N-slant and B-slant helices in Galilean space 𝔾3. In particular, we obtain the explicit parameter equations of the T-slant helices and prove that an admissible curve is a T-slant helix with a non-isotropic axis if and only if it has a non-zero constant conical curvature. We also prove that there are no N-slant, B-slant and Darboux helices in the same space.
Keywords
Subject Classifications
53A2053A3553A4065D17
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