Filtreler

2015 - 20195
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Ayarlar

Yazar: Dursun, Uğur × WoS Q: Q4 ×

Arama Sonuçları

Listeleniyor 1 - 5 / 5
  • 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.
  • 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
    On spacelike rotational surfaces with pointwise 1-type gauss map
    (Korean Mathematical Soc, 2015-01) Dursun, Uğur
    In this paper, we study a class of spacelike rotational surfaces in the Minkowski 4-spade E-1(4) with meridian curves lying in 2-dimensional spacelike planes and having pointwise 1-type Gauss map. We obtain all such surfaces with pointwise 1-type Gauss map of the first kind. Then we prove that the spacelike rotational surface with flat normal bundle and pointwise 1-type Gauss map of the second kind is an open part of a spacelike 2-plane in E-1(4).
  • Küçük Resim
    Yayın
    On submanifolds of pseudo-hyperbolic space with 1-type pseudo-hyperbolic gauss map
    (B. I. Verkin Institute for Low Temperature Physics and Engineering, 2016) Dursun, Uğur; Yeğin, Rüya
    In this paper, we examine pseudo-Riemannian submanifolds of a pseudo-hyperbolic space ?m-1 s (-1) ? Em s+1 with finite type pseudo-hyperbolic Gauss map. We begin by providing a characterization of pseudo-Riemannian sub- manifolds in ?m-1 s (-1) with 1-type pseudo-hyperbolic Gauss map, and we obtain the classification of maximal surfaces in ?m-1 2 (-1) ? Em 3 with 1-type pseudo-hyperbolic Gauss map. Then we investigate the submanifolds of ?m-1 s (-1) with 1-type pseudo-hyperbolic Gauss map containing nonzero constant component in its spectral decomposition.
  • Küçük Resim
    Yayın
    On spherical submanifolds with finite type spherical Gauss map
    (Walter De Gruyter GMBH, 2016-04-01) Bektaş, Burcu; Dursun, Uğur
    Chen and Lue (2007) initiated the study of spherical submanifolds with finite type spherical Gauss map. In this paper, we firstly prove that a submanifold Mn of the unit sphere double-struck Sm-1 has non-mass-symmetric 1-type spherical Gauss map if and only if Mn is an open part of a small n-sphere of a totally geodesic (n + 1)-sphere double-struck Sn+1 ? double-struck Sm-1. Then we show that a non-totally umbilical hypersurface M of double-struck Sn+1 with nonzero constant mean curvature in double-struck Sn+1 has mass-symmetric 2-type spherical Gauss map if and only if the scalar curvature curvature of M is constant. Finally, we classify constant mean curvature surfaces in double-struck S3 with mass-symmetric 2-type spherical Gauss map.