Document Details
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Document Type |
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Article In Journal |
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Document Title |
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Position vector of a time-like slant helix in Minkowski 3-space Position vector of a time-like slant helix in Minkowski 3-space |
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Subject |
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Mathematics |
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Document Language |
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English |
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Abstract |
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In this paper, position vector of a time-like slant helix with respect to standard frame of Minkowski space E31 is studied in terms of Frenet equations. First, a vector differential equation of third order is constructed to determine position vector of an arbitrary time-like slant helix. In terms of solution, we determine the parametric representation of the slant helices from the intrinsic equations. Thereafter, we apply this method to find the representation of a time-like Salkowski and time-like anti-Salkowski curves as examples of a slant helices, by means of intrinsic equations. Moreover, we present some new characterizations of slant helices and illustrate some examples of our main results. |
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ISSN |
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0022247X |
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Journal Name |
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Journal of Mathematical Analysis and Applications |
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Volume |
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365 |
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Issue Number |
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2 |
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Publishing Year |
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2010 AH
2010 AD |
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Article Type |
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Article |
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Added Date |
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Saturday, February 6, 2010 |
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Researchers
| أحمد علي | Ali, Ahmad | Researcher | Doctorate | atali71@yahoo.com |
| M Turgut | Turgut, Melih | Researcher | Doctorate | Melih.Turgut@gmail.com |
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