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ARSLAN, KADRİ

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ARSLAN

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KADRİ

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    Publication
    Rotational surfaces with rotations in x3x4-plane
    (Tsing Hua Univ, Dept Mathematics, 2021-01-01) Arslan, Kadri; Bulca, Betül; ARSLAN, KADRİ; BULCA SOKUR, BETÜL; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; 0000-0001-5861-0184; EJT-1458-2022; AAG-7693-2021
    In the present study we consider generalized rotational surfaces in Euclidean 4-space E-4. Further, we obtain some curvature properties of these surfaces. We also introduce some kind of generalized rotational surfaces in E-4 with the choice of meridian curve. Finally, we give some examples.
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    Publication
    General rotational ξ-surfaces in euclidean spaces
    (Tubitak Scientific & Technological Research Council Turkey, 2021-01-01) Arslan, Kadri; ARSLAN, KADRİ; Aydın, Yılmaz; Bulca, Betul; BULCA SOKUR, BETÜL; Bursa Uludağ Üniversitesi/Fen Edebiyat Fakültesi/Matematik Bölümü.; 0000-0001-5861-0184
    The general rotational surfaces in the Euclidean 4-space R-4 was first studied by Moore (1919). The Vranceanu surfaces are the special examples of these kind of surfaces. Self-shrinker flows arise as special solution of the mean curvature flow that preserves the shape of the evolving submanifold. In addition, xi-surfaces are the generalization of self-shrinker surfaces. In the present article we consider xi-surfaces in Euclidean spaces. We obtained some results related with rotational surfaces in Euclidean xi- space R-4 to become self-shrinkers. Furthermore, we classify the general rotational xi-surfaces with constant mean curvature. As an application, we give some examples of self-shrinkers and rotational xi-surfaces in R-4.
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    A new characterization of curves in minkowski 4-SPACE E 1 4
    (Univ Nis, 2020-01-01) Kisi, Ilim; Öztürk, Günay; Arslan, Kadri; ARSLAN, KADRİ; Bursa Uludağ Üniversitesi/Fen-Edebiyat Fakültesi/Matematik Bölümü; AAG-8775-2021
    In this study, we attend to the curves whose position vectors are written as a linear combination of their Serret-Frenet vectors in Minkowski 4-space E-1(4). We characterize such curves with regard to their curvatures. Further, we get certain consequences of T-constant and N-constant types of curves in E-1(4).