The Fermi-Walker Derivative on the Spherical Indicatrix of Spacelike Curve in Minkowski 3-Space |
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Authors: | Fatma Karakuş Yusuf Yayli |
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Affiliation: | 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, Fermi-Walker parallelism, non-rotating frame and Fermi-Walker terms Darboux vector concepts are given along the spherical indicatrix of a spacelike curve with a spacelike or timelike principal normal in ({E_{1}^{3}}). First, we consider a spacelike curve in the Minkowski space and investigate the Fermi-Walker derivative along the tangent. The concepts with the 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 spacelike curve in ({E_{1}^{3}}). |
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