Yazar "Sakaki, Makoto" seçeneğine göre listele

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    Bi-null curves with constant curvatures in R-2(5)
    (Springer Basel Ag, 2019) Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim
    In the present paper, we classify bi-null curves with constant curvatures in semi-Euclidean 5-space R-2(5) with index 2.
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    Generalized Helicoidal Surfaces in Euclidean 5-space
    (Ovidius Univ Press, 2021) Ucum, Ali; Sakaki, Makoto
    In this paper, we study generalized helicoidal surfaces in Euclidean 5 space. We obtain the necessary and sufficient conditions for generalized helicoidal surfaces in Euclidean 5-space to be minimal, flat or of zero normal curvature tensor, which are ordinary differential equations. We solve those equations and discuss the completeness of the surfaces.
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    k-Type Bi-null Cartan Slant Helices in R-3(6)
    (Southeast Asian Mathematical Soc-Seams, 2018) Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto
    In the present paper, we give the notion of k-type bi-null Cartan slant helices in R-3(6), where k ( )is an element of {1, 2, 3, 4, 5, 6}. We give the necessary and sufficient conditions for bi-null Cartan curves to be k-type slant helices in terms of their curvature functions.
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    k-Type bi-null slant helices in R-2(5)
    (Springer Basel Ag, 2017) Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto
    In the present paper, we give the notion of k-type bi-null slant helices in R-2(5), where k is an element of {0, 1, 2, 3, 4}. We give the necessary and sufficient conditions for bi-null curves to be k-type slant helices in terms of their curvature functions.
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    Lorentzian stationary surfaces and bi-null curves in R-2(5)
    (World Scientific Publ Co Pte Ltd, 2017) Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim
    In this paper, we study Lorentzian stationary surfaces related to bi-null curves in R-2(5). Considering a Gauss-like map, we get Lorentzian stationary surfaces and marginally trapped surfaces in the pseudo-sphere S-2(4) (1).
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    On (1, 3)-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2
    (Springer Basel Ag, 2016) Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto
    In this paper, we study generalized Cartan null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2.
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    On bi-null Cartan curves in semi-Euclidean 6-space with index 3
    (Springer Basel Ag, 2016) Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim
    In this paper, we study bi-null curves in semi-Euclidean 6-space with index 3, R-3(6). We construct the Frenet frame and Cartan curvature functions of bi-null curves in R-3(6). Also we discuss some properties of bi-null Cartan curves in terms of the Cartan curvatures.
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    On osculating, normal and rectifying bi-null curves in (6)(3)
    (Taylor & Francis Ltd, 2017) Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim
    In this paper we give the necessary and sufficient conditions for bi-null curves in (6)(3) to be osculating, normal or rectifying curves in terms of their curvature functions.
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    Ruled surfaces with bi-null curves in R-2(5)
    (Springer-Verlag Italia Srl, 2017) Sakaki, Makoto; Ucum, Ali; Ilarslan, Kazim
    In the present paper, we discuss the geometric properties of two classes of ruled surfaces whose directrix curve is a bi-null curve in semi-Euclidean space R-2(5). We get some classes of flat marginally trapped surfaces in R-2(5).