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2013 On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space
Ufuk Ozturk, Esra Betul Koc Ozturk, Kazim Ilarslan
J. Appl. Math. 2013: 1-6 (2013). DOI: 10.1155/2013/651495

Abstract

We have generalized the involute and evolute curves of the pseudonull curves α in 𝔼13; that is, α is a spacelike curve with a null principal normal. Firstly, we have shown that there is no involute of the pseudonull curves α in 𝔼13. Secondly, we have found relationships between the evolute curve β and the pseudonull curve α in 𝔼13. Finally, some examples concerning these relations are given.

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Ufuk Ozturk. Esra Betul Koc Ozturk. Kazim Ilarslan. "On the Involute-Evolute of the Pseudonull Curve in Minkowski 3-Space." J. Appl. Math. 2013 1 - 6, 2013. https://doi.org/10.1155/2013/651495

Information

Published: 2013
First available in Project Euclid: 14 March 2014

zbMATH: 06950799
MathSciNet: MR3127438
Digital Object Identifier: 10.1155/2013/651495

Rights: Copyright © 2013 Hindawi

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