Yazar "Mahmood, Ghassan Ali Mahmood" seçeneğine göre listele

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    Curves associated with spacelike curves on lightlike surfaces in E31
    (Tbilisi Centre Math Sci, 2024) Mahmood, Ghassan Ali Mahmood; Ozturk, Ufuk
    In this paper, we introduce the concept of k - directional Darboux curves associated with a given spacelike curve alpha lying on a lightlike surface in Minkowski 3 -space E 3 1 . These k - directional Darboux curves are curves generated by specific vector fields derived from the Darboux frame along the curve. We explore the connections between these associated curves and their curvatures, and we also propose a new method for classifying special curves, such as helices and slant helices, using these ideas. In addition, we give the related examples and their graphics.
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    DARBOUX ASSOCIATE CURVES OF SPACELIKE CURVES IN E13
    (Editura Bibliotheca-Bibliotheca Publ House, 2024) Oeztuerk, Ufuk; Mahmood, Ghassan Ali Mahmood
    In this paper, we introduce a new type of curve called the k-directional Darboux curve. These curves are generated by vector fields that are constructed using the Darboux frame of a given spacelike curve alpha lying on a timelike surface in Minkowski 3-space . We give the relationships between these curves and their curvatures. In particular, we show how k-directional Darboux curves can be used to classify some special curves, such as helices and slant helices
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    Darboux Associate Curves of Timelike Curves in E13
    (Southeast Asian Mathematical Soc-Seams, 2024) Ozturk, Ufuk; Mahmood, Ghassan Ali Mahmood
    In this paper, we introduce k-directional Darboux curves of a given timelike curve alpha lying on a timelike surface in Minkowski 3-space E-1(3) as the integral curves of some vector fields generated by the Darboux frame along the curve. The relationships of such associate curves are given including the relationship of their curvatures. By using these curves, we give a new approach to classifying some special curves such as helices, and slant helices.