DARBOUX ASSOCIATE CURVES OF SPACELIKE CURVES IN E_1^3
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Published:2024-03-30
Issue:1
Volume:24
Page:173-184
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ISSN:2068-3049
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Container-title:Journal of Science and Arts
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language:en
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Short-container-title:J. Sci. Arts
Author:
ÖZTÜRK UFUK1, MAHMOOD GHASSAN ALI MAHMOOD2
Affiliation:
1. Bolu Abant İzzet Baysal University, Department of Mathematics, 14300 Bolu, Turkey. 2. University of Telafer, College of Basis Education, Department of Mathematics, Telafer, Iraq.
Abstract
In this paper, we introduce a new type of curve called the k-directional Darboux curve. These curves are generated by vector fields that are constructed using the Darboux frame of a given spacelike curve α lying on a timelike surface in Minkowski 3-space E_1^3. We give the relationships between these curves and their curvatures. In particular, we show how k-directional Darboux curves can be used to classify some special curves, such as helices and slant helices.
Publisher
Valahia University of Targoviste - Journal of Science and Arts
Reference27 articles.
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