A NEW GLANCE TO THE ASPECTS OF Q-HELICES

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Atıf İçin Kopyala

Unluturk Y., EKİCİ C., Unal D.

FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, sa.1, ss.51-65, 2024 (ESCI)

• Yayın Türü: Makale / Tam Makale
• Basım Tarihi: 2024
• Doi Numarası: 10.22190/fumi221122004u
• Dergi Adı: FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS
• Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI)
• Sayfa Sayıları: ss.51-65
• Eskişehir Osmangazi Üniversitesi Adresli: Evet

Özet

In this examination, we take q-helices into consideration. By q-helices, we mean curves due to the quasi-frame (abbv. q-frame) whose vector fields make constant angles with a non-zero fixed axis. One by one, all types of these q-helices we study in the work are therefore classified in three dimensional Euclidean space. Additionally, we study Darboux q-helices by using Darboux vector obtained with respect to q-frames fields of a curve. For a curve enclosed with q-frame as a general case, we reach some results for Darboux q-helices.