Yazar "Turgay, Nurettin Cenk" seçeneğine göre listele

Listeleniyor 1 - 3 / 3
  • Küçük Resim
    Yayın
    Classification of minimal Lorentzian surfaces in S-2(4) (1) with Constant Gaussian and normal curvatures
    (Mathematical Society of The Repulic Of China, 2016-12) Dursun, Uğur; Turgay, Nurettin Cenk
    In this paper we consider Lorentzian surfaces in the 4-dimensional pseudo Riemannian sphere S-2(4)(1) with index 2 and curvature one. We obtain the complete classification of minimal Lorentzian surfaces S-2(4)(1) whose Gaussian and normal curvatures are constants. We conclude that such surfaces have the Gaussian curvature 1/3 and the absolute value of normal curvature 2/3. We also give some explicit examples.
  • Küçük Resim
    Yayın
    Constant angle surfaces in the Lorentzian warped product manifold – I × fE²
    (Birkhauser, 2021-06) Dursun, Uğur; Turgay, Nurettin Cenk
    In this work, we study constant angle space-like and time-like surfaces in the 3-dimensional Lorentzian warped product manifold - I× fE² with the metric g~ = - d t²+ f²(t) (d x²+ d y²) , where I is an open interval, f is a strictly positive function on I, and E² is the Euclidean plane. We obtain a classification of all constant angle space-like and time-like surfaces in - I× fE². In this classification, we determine space-like and time-like surfaces with zero mean curvature, rotational surfaces, and surfaces with constant Gaussian curvature. Also, we obtain some results on constant angle space-like and time-like surfaces of the de Sitter space S13(1).
  • Küçük Resim
    Yayın
    Space-like surfaces in the Minkowski Space E-1(4) with pointwise 1-type Gauss maps
    (Springer, 2019-06) Dursun, Uğur; Turgay, Nurettin Cenk
    We first classify space-like surfaces in the Minkowski space E-1(4), de Sitter space S-1(3), and hyperbolic space H-3 with harmonic Gauss maps. Then we characterize and present a classification of the space-like surfaces with pointwise 1-type Gauss maps of the first kind. We also give some explicit examples.