On the Surface the Fermi–Walker Derivative in Minkowski 3-Space |
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Authors: | Fatma Karaku? Yusuf Yayli |
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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 curve lying on the spacelike surface and the timelike surface in Minkowski 3-space. First, we consider a curve lying on the spacelike surface and investigate the Fermi–Walker derivative along the curve. The concepts which Fermi–Walker derivative and its theorems are analyzed along the curve lying on the spacelike surface in Minkowski 3-space. And then we consider a curve lying on the timelike surface and investigate the Fermi–Walker derivative along the curve. |
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