The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve |
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| Authors: | Fatma Karaku? Yusuf Yayl? |
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| Institution: | 1.Department of Mathematics, Faculty of Arts and Sciences,Sinop University,Sinop,Turkey;2.Department of Mathematics, Faculty of Science,Ankara University,Ankara,Turkey |
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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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