PAIRS OF CURVES WITH STATIONARY ACCELERATION
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, cilt.41, sa.1, ss.175-187, 2026 (ESCI)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 41 Sayı: 1
- Basım Tarihi: 2026
- Doi Numarası: 10.22190/fumi250214004i
- Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
- Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
- Sayfa Sayıları: ss.175-187
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- Ankara Üniversitesi Adresli: Evet
Özet
In this work, curve pairs with stationary acceleration on the SE(3) group are investigated. Considering that the Frenet frame of a spatial curve represents the rotational component of the spatial motion, while the translational component corresponds to an arbitrary spatial curve, a curve on SE(3) is defined using these two components. Characterizations are provided for these curves to have a stationary acceleration. By employing specific special curves, such as the Salkowski curve, Euler spiral, Cornu spiral, and logarithmic spiral, it is demonstrated that a curve defined on SE(3) can possess stationary acceleration. Furthermore, when the Bishop frame is used instead of the Frenet frame, characterizations for curve pairs with stationary acceleration are also presented.