Smarandache Curves According to the Extended Darboux Frame in Euclidean 4-Space

Düldül, Bahar Uyar

doi:10.20967/jcscm.2019.02.001

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2023

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“…This frame fields was defined by Düldül et al and named as extended Darboux frame field (ED-frame field) [8]. By using the newly defined frame fields, some special curves in Euclidean space are defined and their properties are investigated [9,10].…”

Section: Introductionmentioning

confidence: 99%

Osculating Curves According to the Extended Darboux Frame in E4

Bektaș

2023

J. Sci. Arts

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In this paper, we define osculating curves according to the extended Darboux frame (ED-frame), in Euclidean 4-space. Then, according to Case 1 and Case 2 ED-frame fields, the necessary and sufficient condition for a unit speed curve lying on the hypersurface to be congruent to an osculating curve is obtained. For these necessary and sufficient conditions, the solutions of the differential equations have been investigated. Finally, an application has been made on the subject.

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Section: Introductionmentioning

confidence: 99%