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DC Field | Value | Language |
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dc.contributor.author | Nesovic, Emilija | - |
dc.contributor.author | ÖZTÜRK, UFUK | - |
dc.contributor.author | Djordjevic, Jelena | - |
dc.date.accessioned | 2023-05-15T10:59:14Z | - |
dc.date.available | 2023-05-15T10:59:14Z | - |
dc.date.issued | 2023 | - |
dc.identifier.issn | 1300-0098 | en_US |
dc.identifier.uri | https://scidar.kg.ac.rs/handle/123456789/17678 | - |
dc.description.abstract | In this paper we introduce generalized Darboux frame of a spacelike curve α lying on a lightlike surface in Minkowski space E31 . We prove that α has two such frames and obtain generalized Darboux frame’s equations. We find the relations between the curvature functions kg , kn , τg of α with respect to its Darboux frame and the curvature functions ˜kg , ˜kn , ˜τg with respect to generalized Darboux frames. We show that such frames exist along a spacelike straight line lying on a ruled surface which is not entirely lightlike, but contains some lightlike points. We define lightlike ruled surfaces on which the tangent and the binormal indicatrix of a null Cartan curve are the principal curvature lines having ˜τg = 0 and give some examples. | en_US |
dc.language.iso | en | en_US |
dc.rights | info:eu-repo/semantics/openAccess | - |
dc.source | Turkish Journal of Mathematics | - |
dc.subject | Generalized Darboux frame, spacelike curve, Darboux frame, lightlike surface, Minkowski space | en_US |
dc.title | On generalized Darboux frame of a spacelike curve lying on a lightlike surface in Minkowski space $\mathbb{E}^{3}_{1}$ | en_US |
dc.type | article | en_US |
dc.identifier.doi | 10.55730/1300-0098.3399 | en_US |
dc.identifier.scopus | 2-s2.0-85151915561 | - |
Appears in Collections: | Faculty of Science, Kragujevac |
Files in This Item:
File | Description | Size | Format | |
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On generalized Darboux frame of a spacelike curve lying on a ligh.pdf | 415.12 kB | Adobe PDF | View/Open |
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