Browsing by Author "Sakaki, Makoto"
Now showing items 1-8 of 8
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Bi-null curves with constant curvatures in R-2(5)
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (Springer Basel Ag, 2019)In the present paper, we classify bi-null curves with constant curvatures in semi-Euclidean 5-space R-2(5) with index 2. -
k-Type Bi-null Cartan Slant Helices in R-3(6)
Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto (Southeast Asian Mathematical Soc-Seams, 2018)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 bi-null slant helices in R-2(5)
Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto (Springer Basel Ag, 2017)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 ... -
Lorentzian stationary surfaces and bi-null curves in R-2(5)
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (World Scientific Publ Co Pte Ltd, 2017)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). -
On (1, 3)-Cartan null Bertrand curves in semi-Euclidean 4-space with index 2
Ucum, Ali; Ilarslan, Kazim; Sakaki, Makoto (Springer Basel Ag, 2016)In this paper, we study generalized Cartan null Bertrand curves in semi-Euclidean 4-space E-2(4) with index 2. -
On bi-null Cartan curves in semi-Euclidean 6-space with index 3
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (Springer Basel Ag, 2016)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 ... -
On osculating, normal and rectifying bi-null curves in (6)(3)
Ucum, Ali; Sakaki, Makoto; Ilarslan, Kazim (Taylor & Francis Ltd, 2017)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. -
Ruled surfaces with bi-null curves in R-2(5)
Sakaki, Makoto; Ucum, Ali; Ilarslan, Kazim (Springer-Verlag Italia Srl, 2017)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).