Browsing by Author "Kocayigit H."

Now showing 1 - 9 of 9
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    1-type and biharmonic frenet curves in lorentzian 3-space
    (Shiraz University, 2009) Kocayigit H.; Hacisalihoglu H.H.
    1-type and biharmonic curves by using Laplace operator in Lorentzian 3-space are studied and some theorems and characterizations are given for these curves. © Shiraz University.
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    Some characterizations for legendre curves in the 3-dimensional sasakian space
    (Shiraz University, 2015) Kocayigit H.; Onder M.
    In this paper, we give some characterizations for Legendre spherical, Legendre normal and Legendre rectifying curves in the 3-dimensional Sasakian space. Furthermore, we show that Legendre spherical curves are also Legendre normal curves. In particular, we prove that the inverse of curvature of a Legendre rectifying curve is a non-constant linear function of the arclength parameter. © 2015, Shiraz University. All rights reserved.
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    Differential representation of the Lorentzian spherical timelike curves by using bishop frame
    (Serbian Society of Heat Transfer Engineers, 2019) Balki Okullu P.; Kocayigit H.
    In this study, we will give the differential representation of the Lorentzian spherical timelike curves according to Bishop frame and we obtain a third-order linear differential equation which represents the position vector of a timelike curve lying on a Lorentzian sphere. © 2019 Society of Thermal Engineers of Serbia.
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    Naturel mates of equiaffine space curves in affine 3-space
    (Serbian Society of Heat Transfer Engineers, 2019) Tuncer Y.; Kocayigit H.; Karacan M.K.
    In this study, we investigated the natural mates of equiaffine curves with constant equiaffine curvatures, associated to equiaffine frame in affine 3-space and we gave the position vectors under some conditions. © 2019 Society of Thermal Engineers of Serbia.
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    N-bishop darboux vector of the spacelike curve with spacelike binormal
    (Serbian Society of Heat Transfer Engineers, 2019) Kusak Samanci H.; Kocayigit H.
    In this article, the N-Bishop frame in Minkowski space is investigated for spacelike curves with a spacelike binormial. Some features of the normal expansion are proven via for the spacelike curve. Then, a new Darboux frame called by the N-Bishop Darboux frame is introduced at first time. Furthermore, some geometrical properties of the N-Bishop Darboux frame are proven. As a result, the N-Bishop Darboux axis and momentum rotation vector are calculated. © 2019 Society of Thermal Engineers of Serbia.
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    Some special curves belonging to mannheim curves pair
    (Serbian Society of Heat Transfer Engineers, 2019) Senyurt S.; Altun Y.; Cevahir C.; Kocayigit H.
    In this paper, we investigate special Smarandache curves with regard to Sabban frame for Mannheim partner curve spherical indicatrix. We create Sabban frame belonging to this curves. Smarandache curves are explained by taking position vector as Sabban vectors belonging to this curves. Then, we calculate geodesic curvatures of this Smarandache curves. Found results are expressed depending on the Mannheim curve. © 2019 Society of Thermal Engineers of Serbia.
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    An explicit characterization of spherical curves according to Bishop frame and an approximately solution
    (Serbian Society of Heat Transfer Engineers, 2019) Balki Okullu P.; Kocayigit H.; Agirman Aydin T.
    In this paper, spherical curves are studied by using Bishop frame. First, the differential equation characterizing the spherical curves is given. Then, we exhibit that the position vector of a curve which is lying on a sphere satisfies a third-order linear differential equation. Then we solve this linear differential equation by using Bernstein series solution method. © 2019 Society of Thermal Engineers of Serbia.
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    On the Sabban frame belonging to involute-evolute curves
    (Serbian Society of Heat Transfer Engineers, 2019) Senyurt S.; Altun Y.; Cevahir C.; Kocayigit H.
    In this paper, we investigate special Smarandache curves with regard to Sabban frame of involute curve. We create Sabban frame belonging to spherical indicatrix of involute curve. Smarandache curves are explained by Sabban vectors belonging to spherical indicatrix. Then, we calculate geodesic curvatures of this Smarandache curves. The results found for each curve is given depending on evolute curve. The example related to the subject is given and their figures are drawn with MAPPLE program. © 2019 Society of Thermal Engineers of Serbia.
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    On Involute-Evolute Curve Pair in Semi-Euclidean Space
    (Association of Mathematicians (MATDER), 2021) Aydın T.A.; Kocayigit H.
    In this study, a kind of generalized involute and evolute curve pair is considered in 4 dimensional semi Euclidean space with 2 index. The curvatures and the associated Frenet Frame of this kind of generalized involute-evolute curve pair are presented. © MatDer.