Results 1 to 10 of about 751,396 (239)
Characterization of Rectifying Curves by Their Involutes and Evolutes
Mathematics, 2021 A rectifying curve is a twisted curve with the property that all of its rectifying planes pass through a fixed point. If this point is the origin of the Cartesian coordinate system, then the position vector of the rectifying curve always lies in the ...
Marilena Jianu +2 more
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Representations of Rectifying Isotropic Curves and Their Centrodes in Complex 3-Space
Mathematics, 2021 In this work, the rectifying isotropic curves are investigated in three-dimensional complex space C3. The conclusion that an isotropic curve is a rectifying curve if and only if its pseudo curvature is a linear function of its pseudo arc-length is ...
Xueshan Fu, jinhua Qian
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Differential Equations of Rectifying Curves and Focal Curves in $\mathbb{E}^{n}$
Journal of Mathematical Sciences and Modelling, 2022 In this present paper, rectifying curves are re-characterized in a shorter and simpler way using harmonic curvatures and some relations between rectifying curves and focal curves are found in terms of their harmonic curvature functions in $n-$dimensional
Yusuf Yaylı +2 more
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On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes
Mathematics, 2021 This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained.
Jianguo Sun, Yanping Zhao, Xiaoyan Jiang
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Some Aspects of Rectifying Curves on Regular Surfaces Under Different Transformations
International Journal of Analysis and Applications, 2023 An essential space curve in the study of differential geometry is the rectifying curve. In this paper, we studied the adequate requirement for a rectifying curve under the isometry of the surfaces.
Sandeep Sharma, Kuljeet Singh
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A Study on $f$-Rectifying Curves in Euclidean $n$-Space
Universal Journal of Mathematics and Applications, 2021 A rectifying curve in the Euclidean $n$-space $\mathbb{E}^n$ is defined as an arc-length parametrized curve $\gamma$ in $\mathbb{E}^n$ such that its position vector always lies in its rectifying space (i.e., the orthogonal complement of its principal ...
Zafar Iqbal, Joydeep Sengupta
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Equiform rectifying curves in Galilean space G4
Scientific African, 2023 This research paper presents the equiform rectifying curves in Galilean space G4, and establish the relation between equiform curves and their equiform curvature functions.
M. Elzawy, S. Mosa
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Framed Natural Mates of Framed Curves in Euclidean 3-Space
Mathematics, 2023 In this study, we consider framed curves as regular or singular space curves with an adapted frame in Euclidean 3-space. We define framed natural mates of a framed curve that are tangent to the generalized principal normal of the framed curve ...
Yanlin Li, Mahmut Mak
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One-Parameter Hyperbolic Spatial Locomotions and Invariants of the Axode
Mathematics, 2023 In this paper, based on the E. Study map, direct appearances were sophisticated for one-parameter hyperbolic dual spherical locomotions and invariants of the axodes.
Areej A. Almoneef, Rashad A. Abdel-Baky
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Some Characteristic Properties of Non-Null Curves in Minkowski 3-Space
Mathematics, 2023 This paper gives new characteristic properties of non-null spherical and rectifying curves in Minkowski 3-space E13. In the light of the causal characteristics, we give some representations of rectifying non-null curves.
Areej A. Almoneef, Rashad A. Abdel-Baky
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