A New Description of Q-Helices in Euclidean 4-Space
Differential Equations and Dynamical Systems, vol.34, no.3, pp.743-757, 2026 (ESCI, Scopus)
- Publication Type: Article / Article
- Volume: 34 Issue: 3
- Publication Date: 2026
- Doi Number: 10.1007/s12591-025-00713-5
- Journal Name: Differential Equations and Dynamical Systems
- Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, MathSciNet, zbMATH
- Page Numbers: pp.743-757
- Keywords: Four-dimensional Euclidean space E4, q-frame, q-helices, The associations among q-helices
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
In this study, slant helices are investigated via quasi-frame (abbv. q-frame) in four-dimensional Euclidean space E4. The notion of k-type slant q-helices is introduced in E4. Each of the q-frame fields T,Nq,Bq,Cq which makes constant angles with a non-zero fixed axis is surveyed one by one. Also, the conditions for each type of q-helices are obtained and their associations to each other are analyzed in detail.