Yazar "Yayli, Yusuf" seçeneğine göre listele

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    Generalized Fermi-Walker derivative and non-rotating frame
    (World Scientific Publ Co Pte Ltd, 2017) Ucar, Aysenur; Karakus, Fatma; Yayli, Yusuf
    In this paper, generalized Fermi-Walker derivative, generalized Fermi-Walker parallelism and generalized non-rotating frame concepts are given for Frenet frame, Darboux frame and Bishop frame for any curve in Euclidean space. Being generalized, non-rotating frame conditions are analyzed for each frames along the curve. Then we show that Frenet and Darboux frames are generalized non-rotating frames along all curves and also Bishop frame is generalized non-rotating frame along planar curves in Euclidean space.
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    On the Surface the Fermi-Walker Derivative in Minkowski 3-Space
    (Springer Basel Ag, 2016) Karakus, Fatma; Yayli, Yusuf
    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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    The Fermi derivative in the hypersurfaces
    (World Scientific Publ Co Pte Ltd, 2015) Karakus, Fatma; Yayli, Yusuf
    In this study, Fermi derivative and according to the derivative Fermi parallelism and non-rotating frame concepts are given on any hypersurface in En+1. Initially, Fermi derivative and non-rotating concepts are analyzed on any hypersurface in E-4. As an example, S-3 is taken instead of the hypersurface in E-4. Fermi derivative and non-rotating concepts are examined for S-3. Then a correlation is found between Fermi derivative and Levi-Civita derivative of any vector field in E-4. And then the concepts of Fermi derivative are generalized for n > 4 in En+1.
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    The Fermi-Walker Derivative and Non-rotating Frame in Dual Space
    (Springer Basel Ag, 2018) Sahin, Tevfik; Karakus, Fatma; Yayli, Yusuf
    In this study, we defined Fermi-Walker derivative in dual space D-3. Fermi-Walker transport, non-rotating frame and Fermi-Walker termed Darboux vector by using Fermi-Walker derivative are given in dual space D-3. Being conditions of Fermi-Walker transport and non-rotating frame are investigated along any dual curve for dual Frenet frame, dual Darboux frame and dual Bishop frame.
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    The Fermi-Walker Derivative in Minkowski Space
    (Springer Basel Ag, 2017) Karakus, Fatma; Yayli, Yusuf
    In this study Fermi-Walker derivative, Fermi-Walker parallelism, non-rotating frame, Fermi-Walker terms Darboux vector concepts are given for Minkowski 3-space . First, we get any spacelike curve with a spacelike or timelike principal normal and any vector field along the curve in Minkowski 3-space . Fermi-Walker derivative and Fermi-Walker parallelism are analyzed for any spacelike curve with a spacelike or timelike principal normal in Minkowski 3-space and the necessary conditions to be Fermi-Walker parallel are explained. Then the necessary definitions, concepts and theorems are analyzed about Fermi-Walker derivative for any spacelike curve with a lightlike(null) principal normal. And then, in Minkowski 3-space Fermi-Walker derivative is analyzed for any timelike curves.
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    The Fermi-Walker Derivative on the Spherical Indicatrix of a Space Curve
    (Springer Basel Ag, 2016) Karakus, Fatma; Yayli, Yusuf
    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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    The Fermi-Walker Derivative on the Spherical Indicatrix of Spacelike Curve in Minkowski 3-Space
    (Springer Basel Ag, 2016) Karakus, Fatma; Yayli, Yusuf
    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 . 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 .
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    The Fermi-Walker Derivative on the Spherical Indicatrix of Timelike Curve in Minkowski 3-Space
    (Springer Basel Ag, 2016) Karakus, Fatma; Yayli, Yusuf
    In this paper Fermi-Walker derivative and Fermi-Walker parallelism and non-rotating frame concepts are given along the spherical indicatrix of a timelike curve in . First, we consider a timelike curve in the Minkowski 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 timelike curve in E-1(3).