Characterization of Tzitzeica Curves by Using q-frame in Euclidean 3-space

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Süleyman Demirel Üniversitesi Fen Bilimleri Enstitüsü Dergisi
Cilt: 29 Sayı: 3
Characterization of Tzitzeica Curves by Using q-frame in Euclidean 3-space

Characterization of Tzitzeica Curves by Using q-frame in Euclidean 3-space

Authors : Gamze Nur Şen, Gül Uğur Kaymanlı, Cumali Ekici

Pages : 688-693

Doi:10.19113/sdufenbed.1805264

View : 81 | Download : 249

Publication Date : 2025-12-25

Article Type : Research Paper

Abstract :In this work, using q-frame Tzitzeica (T-curve), spherical (s-curve), and spherical Tzitzeica (sT-curve) curves are studied in three-dimensional Euclidean space. There is a T-curve when its torsion has a non-zero constant ratio to the square of the distance from the origin to the plane generated by tangent and normal vectors at any point on the curve. Using q-frame in 3-dimensional Euclidean space, after defining T-curve and s-curve and investigating related theorems, the theorems related to sT-curves are proved.
Keywords : Eğrilikler, Küresel eğriler, Tzitzeika eğrileri

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