On the striction curves of Mannheim Frenet ruled surfaces in E3
In this paper we consider eight special ruled surfaces associated to Mannheim curve α and Mannheim partner α*, with k1≠ 0. They are called as Frenet ruled surface (FRS) and Mannheim Frenet ruled surfaces (MFRS), cause of their generators are the Frenet vector fields of Mannheim curve pair ( α, α*)....
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| Format: | Article |
| Language: | English |
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BİSKA Bilisim Company
2018-12-01
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| Series: | New Trends in Mathematical Sciences |
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| Online Access: | https://ntmsci.com/ajaxtool/GetArticleByPublishedArticleId?PublishedArticleId=8500 |
| Summary: | In this paper we consider eight special ruled surfaces associated to Mannheim curve α and Mannheim partner α*, with k1≠ 0. They are called as Frenet ruled surface (FRS) and Mannheim Frenet ruled surfaces (MFRS), cause of their generators are the Frenet vector fields of Mannheim curve pair ( α, α*). First we give the tangent vector fields of the striction curves of Mannheim Frenet ruled surfaces in terms of the Frenet apparatus of Mannheim curve α. Further we give only one matrix in which we can examine sixteen position of these tangent vector fields, such that we can say the conditions of perpendicularity of these tangent vector fields. |
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| ISSN: | 2147-5520 2147-5520 |