Browsing by Author "Ayazoglu, R"

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    TIMELIKE HELICES IN THE SEMI-EUCLIDEAN SPACE E24
    Aydin, TA; Ayazoglu, R; Kocayigit, H
    In this paper, we define timelike curves in R-2(4) and characterize such curves in terms of Frenet frame. Also, we examine the timelike helices of R-2(4), taking into account their curvatures. In addition, we study timelike slant helices, timelike B-1-slant helices, timelike B-2-slant helices in four dimensional semi-Euclidean space, R-2(4). And then we obtain an approximate solution for the timelike B-1 slant helix with Taylor matrix collocation method.
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    Morgan-Voyce Polynomial Approach for Quaternionic Space Curves of Constant Width
    Aydin, TA; Ayazoglu, R; Kocayigit, H
    The curves of constant width are special curves used in engineering, architecture and technology. In the literature, these curves are considered according to different roofs in different spaces and some integral characterizations of these curves are obtained. However, in order to examine the geometric properties of curves of constant width, more than characterization is required. In this study, firstly differential equations characterizing quaternionic space curves of constant width are obtained. Then, the approximate solutions of the differential equations obtained are calculated by the Morgan-Voyce polynomial approach. The geometric properties of this curve type are examined with the help of these solutions.