Year: 2025
Type: article
Abstract: 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.
Source: Axioms
Authors: Yanlin Li, Akın Alkan, Mehmet Önder, Yuquan Xie
Institutions: Hangzhou Normal University, Manisa Celal Bayar University
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: gold
Estimated APC paid: $2,896
OpenAlex ID: W4410082337