Yazar "Ilarslan K." seçeneğine göre listele

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    On pseudo null Bertrand curves in Minkowski space-time
    (Kyungpook National University, 2014) Gök I.; Nurkan S.K.; Ilarslan K.
    In this paper, we prove that there are no pseudo null Bertrand curve with curvature functions k1(s) = 1, k2(s) ? 0 and k3(s) other than itself in Minkowski spacetime E41 and by using the similar idea of Matsuda and Yorozu [13], we define a new kind of Bertrand curve and called it pseudo null (1; 3)-Bertrand curve. Also we give some characterizations and an example of pseudo null (1; 3)-Bertrand curves in Minkowski spacetime.
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    On pseudohyperbolical smarandache curves in minkowski 3-space
    (2013) Koc Ozturk E.B.; Ozturk U.; Ilarslan K.; Nešovi? E.
    We define pseudohyperbolical Smarandache curves according to the Sabban frame in Minkowski 3-space. We obtain the geodesic curvatures and the expression for the Sabban frame vectors of special pseudohyperbolic Smarandache curves. Finally, we give some examples of such curves. © 2013 Esra Betul Koc Ozturk et al.
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    On some special curves in Lorentz-Minkowski plane
    (University Constantin Brancusi of Targu-Jiu, 2020) Uçum A.; Ilarslan K.; Mladenov I.M.
    Here we consider the plane curves whose curvature ? depends on the distance from the origin in Lorentz-Minkowski plane E2 1. We obtain their explicit parameterizations in the cases when the plane curves have curvatures which are linear or quadratic functions of the distance of their points from the origin in E2 1up to a real positive multiplier ? ? R+. We have derived also the algebraic equations which are uniformized by these parameterziations. © 2020 University Constantin Brancusi of Targu-Jiu. All rights reserved.
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    Some characterizations of null, pseudo null and partially null rectifying curves in Minkowski space-time
    (Mathematical Society of the Rep. of China, 2008) Ilarslan K.; Nešovi? E.
    In this paper, we define rectifying curves in Minkowski space-time and characterize null, pseudo null and partially null rectifying curves in terms of their curvatures. Also, we give some explicit equations of null, pseudo null and partially null rectifying curves in E41.
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    Some characterizations of osculating curves in the Euclidean spaces
    (Walter de Gruyter GmbH, 2008) Ilarslan K.; Nešovi? E.
    In this paper, we give some characterization for a osculating curve in 3-dimensional Euclidean space and we define a osculating curve in the Euclidean 4-space as a curve whose position vector always lies in orthogonal complement B1 ? of its first binormal vector field Si. In particular, we study the osculating curves in E4 and characterize such curves in terms of their curvature functions. © 2008 Warsaw University. All rights reserved.
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    Spacelike and timelike normal curves in Minkowski space-time
    (2009) Ilarslan K.; Nešovi? E.
    We define normal curves in Minkowski space-time E41. In particular, we characterize the spacelike normal curves in E41 whose Frenet frame contains only non-null vector fields, as well as the timelike normal curves in E41, in terms of their curvature functions. Moreover, we obtain an explicit equation of such normal curves with constant curvatures.