On some new frames along a space curve and integral curves with Darboux q-vector fields in E3
AIMS Mathematics, vol.9, no.7, pp.17871-17885, 2024 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 9 Issue: 7
- Publication Date: 2024
- Doi Number: 10.3934/math.2024869
- Journal Name: AIMS Mathematics
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Page Numbers: pp.17871-17885
- Keywords: integral curve, normal q-frame, osculating q-frame, q-frame, rectifying q-frame
- Yıldız Technical University Affiliated: Yes
Abstract
In this paper, to start we defined osculating q-frame, normal q-frame, and rectifying q frame along a space curve in Euclidean 3-space E3 by using the Darboux vector field of the q-frame. We obtained the derivative equations of these new frames. Later, we defined some new integral curves of a space curve and called them do-direction curve, dn-direction curve and dr-direction curve. Finally, we gave some theorems and results related with these curves.