Yazar "Mollaogullari, Ahmet" seçeneğine göre listele

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    Öğe
    A NEW TYPE WARPED PRODUCT METRIC IN CONTACT GEOMETRY
    (Honam Mathematical Soc, 2022) Mollaogullari, Ahmet; Camci, Cetin
    This study presents an alpha-Sasakian structure on the product manifold M-1 x beta (I) , where M-1 is a Kahler manifold with an exact 1-form, and beta(I) is an open curve. It then defines a new type warped product metric to study the warped product of almost Hermitian manifolds with almost contact metric manifolds, contact metric manifolds, and K-contact manifolds.
  • [ X ]
    Öğe
    Equivalent curves in En
    (Amer Inst Mathematical Sciences-Aims, 2025) Mollaogullari, Ahmet; Gumus, Mehmet; Camci, Didem Karalarlioglu; Ilarslan, Kazim; Camci, Cetin
    In this paper, we first define an equivalence relation for curves in En. Based on this equivalence relation, we investigate the relationships between the Frenet frame and curvatures of equivalent curves. Next, we introduce the concept of linearly dependent curvatures in Enand examine its implications for equivalent curves. Building on this concept and the proposed equivalence relation, we present a method to construct (1,3)-Bertrand curves in E4. Additionally, we derive the relationships between the harmonic curvatures of equivalent curves and use these relationships to establish several properties of equivalent helical curves. These results enable systematic construction of curves with prescribed geometric properties.