Slant Helices and Darboux Helices in Myller Configuration
In this paper, we study slant helices (or ξ_2-helices) and Darboux helices in the Myller configuration M. We demonstrate that a curve in M is a slant helix if and only if it is a Darboux helix. We present the alternative frame for a curve in M. Furthermore, we derive the differential equations that characterize the curves in M using both the Frenet-type frame and the alternative frame.
Authors
- Mehmet Önder (ORCID: https://orcid.org/0000-0002-9354-5530)
- Yanlin Li (ORCID: https://orcid.org/0000-0003-1614-3228)
- Yuquan Xie
- Akın Alkan (ORCID: https://orcid.org/0000-0002-8179-9525)
Institutions
- Hangzhou Normal University (CN)
- Manisa Celal Bayar University (TR)
Publication Details
- Journal
- Axioms
- Published
- 2025-05-05
- DOI
- https://doi.org/10.3390/axioms14050353
- Citations
- 3
- Primary Topic
- Advanced Differential Geometry Research
- Type
- article
- Field-Weighted Citation Impact
- 3.46