Yazar "Karadag, H. Bayram" seçeneğine göre listele

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    Embankment Surfaces in Euclidean 3-Space and Their Visualizations
    (Rgn Publ, 2019) Kazan, Ahmet; Karadag, H. Bayram
    In the present paper, we obtain the parametric representation of an embankment surface and give an example for it. We define the notions of embankmentlike surfaces and tubembankmentlike surfaces. Furthermore, we create some embankmentlike and tubembankmentlike surface examples with the aid of different directrix and draw these directrix and surfaces. Also, we find the Gaussian, mean and second Gaussian curvatures of these surfaces and draw the Gaussian, mean and second Gaussian curvature functions' graphics and the variations of Gaussian, mean and second Gaussian curvatures on related surfaces with the aid of Mathematica.
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    HYPERSURFACE FAMILIES WITH SMARANDACHE CURVES IN GALILEAN 4-SPACE
    (Ankara Univ, Fac Sci, 2021) Altin, Mustafa; Kazan, Ahmet; Karadag, H. Bayram
    In this paper, we study the hypersurface families with Smarandache curves in 4-dimensional Galilean space G(4) and give the conditions for different Smarandache curves to be parameter and the curve which generates the Smarandache curves is geodesic on a hypersurface in G(4): Also, we investigate three types of marching-scale functions for one of these hypersurfaces and construct an example for it.
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    Ligthlike ruled surfaces in R14
    (Balkan Soc Geometers, 2006) Kihc, Erol; Karadag, H. Bayram
    In this paper, we introduce the lightlike ruled surfaces in semi-Euclidean space R-1(4) and classify the lightlike ruled surfaces in R-1(4). It is also investigated that their induced connection is a metric connection. Furthermore, we give the conditions of becoming striction line of base (directrix) curve.
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    LOCALLY DECOMPOSABLE GOLDEN RIEMANNIAN TANGENT BUNDLES WITH CHEEGER-GROMOLL METRIC
    (Univ Miskolc Inst Math, 2016) Kazan, Ahmet; Karadag, H. Bayram
    In this paper we obtain a condition for the tangent bundle (TM, (J) over tilde, (g) over tilde) to be locally decomposable Golden Riemannian tangent bundle, where (J) over tilde is the Golden structure on TM and (g) over tilde is the Cheeger-Gromoll metric.
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    MAGNETIC NON-NULL CURVES ACCORDING TO PARALLEL TRANSPORT FRAME IN MINKOWSKI 3-SPACE
    (Ankara Univ, Fac Sci, 2018) Kazan, Ahmet; Karadag, H. Bayram
    In this study, we define the notions of T-magnetic, N-1-magnetic and N-2-magnetic timelike and spacelike curves in Minkowski 3-space. We obtain the magnetic vector field V when the timelike or spacelike curve is a T-magnetic, N-1-magnetic or N-2-magnetic trajectory of V and give some examples for these magnetic curves.
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    Monge Hypersurfaces in Euclidean 4-Space with Density
    (Gazi Univ, 2020) Altin, Mustafa; Kazan, Ahmet; Karadag, H. Bayram
    In the present study, firstly we give the mean and Gaussian curvatures of a Monge hypersurface in 4-dimensional Euclidean space. After this, we study on Monge hypersurfaces in E-4 with different densities. In this context, we obtain the weighted minimal and weighted flat Monge hypersurfaces in E-4 with densities e(alpha x+beta y+yz+mu r)(linear density) and e(alpha x2+beta y2+yz2+mu t2) with the aid of different choices of constants alpha,beta,gamma and mu, where alpha,beta,gamma and mu are not all zero constants.
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    Paracontact Tangent Bundles with Cheeger-Gromoll Metric
    (Springer Basel Ag, 2015) Kazan, Ahmet; Karadag, H. Bayram
    In this paper, we define the almost paracontact metric structure on a tangent bundle TM with Cheeger-Gromoll (C-G) metric and obtain the normality condition for it. We define the paracontact C-G metric tangent bundle, K-paracontact C-G metric tangent bundle and C-G para-Sasakian tangent bundle and give some characterizations about them. Also, we give the Riemannian curvature tensor RI integral and the sectional curvature KI integral of the almost paracontact C-G metric tangent bundle TM. Finally, we obtain the Ricci curvature SI integral and the scalar curvature of the almost paracontact C-G metric tangent bundle TM with the aid of the orthonormal basis of TM.
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    Paracontact Tangent Bundles with Cheeger-Gromoll Metric (vol 12, pg 497, 2015)
    (Springer Basel Ag, 2016) Kazan, Ahmet; Karadag, H. Bayram
    [Abstract Not Available]
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    ROTATIONAL SURFACES GENERATED BY PLANAR CURVES IN E3 WITH DENSITY
    (Etamaths Publ, 2019) Altin, Mustafa; Kazan, Ahmet; Karadag, H. Bayram
    In this paper, we obtain the parametric expressions of curves which have zero weighted curvature in a plane with density e(ax+by) and create the Smarandache curves of the obtaining curves. Also, we construct the rotational surfaces which are generated by planar curves with vanishing weighted curvature and give some characterizations for them.
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    RULED SURFACES IN E3 WITH DENSITY
    (Honam Mathematical Soc, 2019) Altin, Mustafa; Kazan, Ahmet; Karadag, H. Bayram
    In the present paper, we study curves in E-3 with density e(,)(ax2 + by2) where a, b is an element of R not all zero constants and give the parametric expressions of the curves with vanishing weighted curvature. Also, we create ruled surfaces whose base curves are the curve with vanishing weighted curvature and the ruling curves are Smarandache curves of this curve. Then, we give some characterizations about these ruled surfaces by obtaining the mean curvatures, Gaussian curvatures, distribution parameters and striction curves of them.
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    TRANS-SASAKIAN MANIFOLDS WITH RESPECT TO GENERALIZED TANAKA-WEBSTER CONNECTION
    (Honam Mathematical Soc, 2018) Kazan, Ahmet; Karadag, H. Bayram
    In this study, we use the generalized Tanaka-Webster connection on a trans-Sasakian manifold of type (alpha, beta) and obtain the curvature tensors of a trans-Sasakian manifold with respect to this connection. Also, we investigate some special curvature conditions of a trans-Sasakian manifold with respect to generalized Tanaka-Webster connection and finally, give an example for trans-Sasakian manifolds.
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    WEIGHTED MINIMAL AND WEIGHTED FLAT SURFACES OF REVOLUTION IN GALILEAN 3-SPACE WITH DENSITY
    (Etamaths Publ, 2018) Kazan, Ahmet; Karadag, H. Bayram
    In this paper, we obtain the weighted mean and weighted Gaussian curvatures of surfaces of revolution in Galilean 3-space with density e(a1x2+a2y2+a3z2), a(1), a(3), a(3) is an element of R not all zero. Also, we investigate some cases of weighted minimal surfaces of revolution according to a(i), i = 1, 2, 3 and weighted flat surfaces of revolution.