Yazar "Altin, Mustafa" seçeneğine göre listele

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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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    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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    RIEMANNIAN SUBMERSIONS ENDOWED WITH A NEW TYPE OF SEMI-SYMMETRIC NON-METRIC CONNECTION
    (Vinca Inst Nuclear Sci, 2023) Karatas, Esra; Zeren, Semra; Altin, Mustafa
    In this paper we study relations for the covariant derivative of O'Neill's tensor fields, Riemannian curvature, Ricci curvature and scalar curvature of the Riemannian submersion from a Riemannian manifold with respect to a new type of semi-symmetric non-metric connection to a Riemannian manifold, respectively, and demonstrate the relationship between them.
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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 and Rotational Surfaces Generated by Non-Null Curves with Zero Weighted Curvature in (L3, ax2
    (Int Electronic Journal Geometry, 2020) Altin, Mustafa; Kazan, Ahmet; Karada, H. Bayram
    In this study, firstly we give the weighted curvatures of non-null planar curves in Lorentz-Minkowski space with density eax(2)+by(2) and obtain the planar curves whose weighted curvatures vanish in this space under the condition that the constants a and b are not zero at the same time. After giving the Frenet vectors of the non-null planar curves with zero weighted curvature in Lorentz-Minkowski space with density eax(2), we create the Smarandache curves of them. With the aid of these curves and their Smarandache curves, we get the ruled surfaces whose base curves are non-null curves of which vanishing weighted curvature and ruling curves are Smarandache curves of them. Followingly, we give some characterizations for these ruled surfaces by obtaining the mean and Gaussian curvatures, distribution parameters and striction curves of them. Also, rotational surfaces which are generated by non-null planar curves with zero weighted curvatures in Lorentz-Minkowski space E-1(3) with density eax(2) +by(2) are studied under the condition that the constants a and b are not zero at the same time. We draw the graphics of the obtained surfaces.
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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.