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The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve

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Abstract

In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a curve in E 3. First, we consider a curve in Euclid space and investigate the Fermi-Walker derivative along the tangent. The concepts which Fermi-Walker derivative are analyzed along its tangent. Then, the Fermi-Walker derivative and its theorems are analyzed along the principal normal indicatrix and the binormal indicatrix of any curve in E 3.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Sinop University, 57000, Sinop, Turkey

    Fatma Karakuş

  2. Department of Mathematics, Faculty of Science, Ankara University, 06100, Ankara, Turkey

    Yusuf Yaylı

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  1. Fatma Karakuş
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  2. Yusuf Yaylı
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Correspondence to Fatma Karakuş.

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Karakuş, F., Yaylı, Y. The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve. Adv. Appl. Clifford Algebras 26, 183–197 (2016). https://doi.org/10.1007/s00006-015-0597-y

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  • DOI: https://doi.org/10.1007/s00006-015-0597-y

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