Yazar "Gok, Ismail" seçeneğine göre listele

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    Öğe
    ON SURFACE THEORY IN 3-DIMENSIONAL ALMOST CONTACT METRIC MANIFOLD
    (Ankara Univ, Fac Sci, 2011) Gok, Ismail; Camci, Cetin; Hacisalihoglu, H. Hilmi
    In this paper, we study surface theory in 3-dimensional almost contact metric manifolds by using cross product defined by Camci [6] . Camci also studied the theory of curves using the new cross product on this manifolds. In this study, we have defined unit normal vector field of any surface in R-3 (-3) and then, we investigate shape operator matrix of the surface. Morever, we calculate the formulas of Gaussian and mean curvatures of a surface in R-3 (-3).
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    Öğe
    Vn- SLANT HELICES IN MINKOWSKI n-SPACE E1n
    (Ankara Univ, Fac Sci, 2009) Gok, Ismail; Camci, Cetin; Hacisalihoglu, H. Hilmi
    In this paper we give a definition of harmonic curvature functions in terms of V-n and define a new kind of slant helix which we call V-n-slant helix in n-dimensional Minkowski space E-1(n) by using the new harmonic curvature functions . Also we define a vector field D-L which we call Darboux vector field of V-n-slant helix in n-dimensional Minkowski space E-1(n) and we give some characterizations about slant helices.
  • [ X ]
    Öğe
    Vn-slant helices in Euclidean n-space En
    (Univ Osijek, Dept Mathematics, 2009) Gok, Ismail; Camci, Cetin; Hacisalihoglu, H. Hilmi
    In this paper, we give a definition of harmonic curvature functions in terms of V-n and we define a new kind of a slant helix. We call this new slant helix a V-n-slant helix in n-dimensional Euclidean space En and define it by using new harmonic curvature functions. We also de fine a vector field D which we call a Darboux vector field of a Vn-slant helix in n-dimensional Euclidean space En and we give a new characterization as: alpha : I subset of R -> E-n is a V-n-slant helix <-> Hn-2*' - k1H(n-3)* = 0, where Hn-2*, Hn-3* are harmonic curvature functions and k(1) shows the first curvature function of the curve alpha.