Position vectors of curves with recpect to Darboux frame in the Galilean space G³

DOI10.31801/cfsuasmas.586095zbMath1495.53025arXiv1707.03930OpenAlexW2964271583MaRDI QIDQ5085776

Tevfik Şahin, Buket Ceylan Dirişen

Publication date: 27 June 2022

Published in: Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.03930

zbMATH Keywords

geodesicDarboux frameposition vectorGalilean \(3\)-space

Mathematics Subject Classification ID

Non-Euclidean differential geometry (53A35) Local differential geometry of Lorentz metrics, indefinite metrics (53B30)

Cites Work

• Salkowski curves revisited: a family of curves with constant curvature and non-constant torsion
• Position vectors of spacelike general helices in Minkowski 3-space
• Bergman-Vekua theory in differential form
• The projective interpretation of the eight 3-dimensional homogeneous geometries
• Position vectors of slant helices in Euclidean 3-space
• Intrinsic equations for a generalized relaxed elastic line on an oriented surface in the Galilean space
• Special Smarandache Curves with Respect to Darboux Frame in the Galilean 3-Space
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