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OALib Journal期刊
ISSN: 2333-9721
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-  2018 

On eqiform Darboux helices in Galilean 3-space

Keywords: Galilean 3-space, equiform geometry, Darboux vector

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Abstract:

Sa?etak In this paper, we define equiform Darboux helices in a Galilean space \(G_{3}\) and obtain their explicit parameter equations. We show that equiform Darboux helices have only a non-isotropic axis and characterize equiform Darboux vectors of equiform Darboux helices in terms of equiform rectifying curves. We prove that an equiform Darboux vector of an equiform Darboux helix α is an equiform Darboux helix if an admissible curve \(\alpha\) is a rectifying curve. We also prove that there are no equiform curves of constant precession and give some examples of equiform Darboux helices

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