Yazar "Yazici, Bahar Dogan" seçeneğine göre listele

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    Generalized Rectifying Ruled Surfaces of Special Singular Curves
    (Ovidius Univ Press, 2023) Isbilir, Zehra; Yazici, Bahar Dogan; Tosun, Murat
    In this study, generalized rectifying ruled surfaces of Frenet-type framed base curves in the three-dimensional Euclidean space are introduced. These surfaces are a generalization of not only the tangent and binormal surfaces of Frenet-type framed base curves, but also the tangent and binormal surfaces of regular curves. Additionally, we present some geometric characterizations and properties of these surfaces. Then, the singular point classes of the surface are scrutinized and the conditions for being a cross-cap surface are stated. Moreover, generalized rectifying surfaces are examined as framed surfaces by using the framed surface theory, and we investigate the basic invariants and curvatures of them. Then, several illustrative examples with figures are given to support the theorems and results.
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    Spinor representations of framed curves in the three-dimensional lie groups
    (Taru Publications, 2023) Isbilir, Zehra; Yazici, Bahar Dogan; Tosun, Murat
    In this study, we determine the spinor representations of special singular curves (framed curves) in the three-dimensional Lie groups with a biinvariant metric. Also, we construct spinor framed equations for some special cases and obtain the relations between the spinor representations of the general frame and adapted frame along the framed curves in the three-dimensional Lie groups. Then, we give some geometric properties and results with respect to them.