Zobrazeno 1 - 10
of 26
pro vyhledávání: '"Aksoyak, Ferdağ Kahraman"'
In this paper, we study on the characterizations of loxodromes on the rotational surfaces satisfying some special geometric properties such as having constant Gaussian curvature, flat and minimality in Euclidean 3-space. First, we give the parametriz
Externí odkaz:
http://arxiv.org/abs/2204.06047
Autor:
Aksoyak, Ferdağ Kahraman
If there exists a quaternionic Bertrand curve in E4, then its torsion or bitorsion vanishes. So we can say that there is no quaternionic Bertrand curves whose torsion and bitorsion are non-zero. Hence by using the method which is given by Matsuda and
Externí odkaz:
http://arxiv.org/abs/2101.08564
Publikováno v:
Konuralp Journal of Mathematics 4-2 (2016) 17-24
In this paper, we study the position vectors of rectifying slant helices in $E^3$. First, we have found the general equations of the curvature and the torsion of rectifying slant helices. After that, we have constructed a second order linear differen
Externí odkaz:
http://arxiv.org/abs/1602.03413
Autor:
Aksoyak, Ferdag Kahraman, Yayli, Yusuf
In this paper, we study rotational surfaces of elliptic, hyperbolic and parabolic type with pointwise 1-type Gauss map which have spacelike profile curve in four dimensional pseudo Euclidean space E4-2 and obtain some characterizations for these rota
Externí odkaz:
http://arxiv.org/abs/1601.04932
In this paper, we investigate constant breadth curves on a surface according to Darboux frame and give some characterizations of these curves.
Externí odkaz:
http://arxiv.org/abs/1510.08712
In this paper, we denone the generalized bicomplex numbers and give some algebraic properties of them. Also, we show that some hyperquadrics in R4 and R42 are Lie groups by using generalized bicomplex number product and obtain Lie algebras of these L
Externí odkaz:
http://arxiv.org/abs/1402.6812
Autor:
Aksoyak, Ferdag Kahraman, Yayli, Yusuf
In this paper, we study spacelike rotational surfaces which are called boost invariant surfaces in Minkowski 4-space E41. We give necessary and sufficient condition for flat spacelike rotational surface to have pointwise 1-type Gauss map. Also, we ob
Externí odkaz:
http://arxiv.org/abs/1306.0306
Autor:
Aksoyak, Ferdağ Kahraman, Yaylı, Yusuf
In this paper, we study general rotational surfaces in the 4- dimensional pseudo-Euclidean space E4-2 and obtain a characterization of flat general rotation surfaces with pointwise 1-type Gauss map in E4-2 and give an example of such surfaces.
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Externí odkaz:
http://arxiv.org/abs/1302.2910
Autor:
Aksoyak, Ferdağ Kahraman, Yaylı, Yusuf
In this paper we study general rotational surfaces in the 4- dimensional Euclidean space E4 and give a characterization of flat general rotation surface with pointwise 1-type Gauss map. Also, we show that a non-planar flat general rotation surface wi
Externí odkaz:
http://arxiv.org/abs/1302.2804
Autor:
Gök, İsmail, Aksoyak, Ferdağ Kahraman
In [18], L. R. Pears proved that Bertrand curves in E-n(n > 3) are degenerate curves. This result restate in [16] by Matsuda and Yorozu. They proved that there is no special Bertrand curves in E-n(n > 3) and they define new kind of Bertrand curves ca
Externí odkaz:
http://arxiv.org/abs/1302.2809