Yazar "Yayli, Yusuf" seçeneğine göre listele

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    Öğe
    On Developable Ruled Surfaces in Minkowski Space
    (Birkhauser Verlag Ag, 2012) Yayli, Yusuf; Saracoglu, Semra
    The aim of this study is to obtain the distribution parameter of a ruled surface generated by a straight line in Frenet trihedron moving along two different spacelike curves with the same parameter. At this time, the Frenet frames of these curves are not the same. We have moved the director vector of the first curve along the second curve. It is shown that the ruled surface is developable if and only if the base curve is helix. In addition, some results and theorems are presented with special cases.
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    Öğe
    Ruled surfaces with different Blaschke approach
    (2012) Yayli, Yusuf; Saracoglu, Semra
    In this paper, using dual elements, Frenet and Blaschke frames, unit dual spherical curves are studied with ruled surfaces. Then, from some well-known approaches, new Blaschke approach of ruled surfaces is given. Moreover, kinematic interpretation of the moving Blaschke frame is presented with some theorems and their proofs. Finally, when we take the derivatives of the indicatrices by changing the parameter of the curve, we have new results.
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    Öğe
    Some Notes on Dual Spherical Curves
    (Rgn Publ, 2011) Yayli, Yusuf; Saracoglu, Semra
    In this study, by investigating one parameter spherical motion in D-3 with two different kinds of dual indicatrice curves, we have obtained the ruled surfaces that correspond to tangent, principal normal and binormal indicatrices of the dual curve are developable. Furthermore, it can be easily seen that this study gives a link between the classical surface theory and dual spherical curves on the dual unit spheres.