Results 11 to 20 of about 3,181 (225)
Position vector of a time-like slant helix in Minkowski 3-space
Journal of Mathematical Analysis and Applications, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ali, Ahmad T., Turgut, Melih
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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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International Electronic Journal of Geometry, 2019 Summary: A slant helix is a curve for which the principal normal vector field makes a constant angle with a fixed direction. In this study, we solve a system of linear ordinary differential equations involving an alternative moving frame, then determine the position vectors of slant helices through integration in Minkowski 3-space.
YILMAZ, Beyhan, HAS, Aykut
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Geometrical Properties of the Pseudonull Hypersurfaces in Semi-Euclidean 4-Space
Mathematics, 2021 In this paper, we focus on some geometrical properties of the partially null slant helices in semi-Euclidean 4-space. By structuring suitable height functions, we obtain the singularity types of the pseudonull hypersurfaces, which are generated by the ...
Jianguo Sun, Xiaoyan Jiang, Fenghui Ji
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A New Moving Frame for Trajectories with Non-Vanishing Angular Momentum
Journal of Mathematical Sciences and Modelling, 2021 The theory of curves has a very long history. Moving frames defined on curves are important parts of this theory. They have never lost their importance.
Kahraman Esen Özen, Murat Tosun
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A unified method for constructing developable surface pencils interpolating characteristic curves
Frontiers in Physics, 2022 Developable surface is a simple and common surface in surface modeling. Geodesic, line of curvature, asymptotic curve, and D-type curve are important characteristic curves on the surfaces.
Jun Wang, Miaochao Chen, Dongyin Wang
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Characterization of the Slant Helix as Successor Curve of the General Helix
International Electronic Journal of Geometry, 2014 Condensed version of earlier manuscript arXiv:1302.3175 ; 7 ...
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Demonstratio Mathematica, 2014 In this paper, we give the explicit determinations of dual plane curves, general dual helices and dual slant helices in terms of its dual curvature and dual torsion as a fundamental theory of dual curves in a dual 3 ...
Lee Jae Won, Choi Jin Ho, Jin Dae Ho
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Some new types of associated curves in Euclidean 3-space
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2018 In this paper, we introduce the concept of D-direction curve and C- direction curve of a given curve using the alternative frame –N,C,W} in Euclidean 3-space.
Özdoğan Sibel +3 more
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Conjugate mates for non-null Frenet curves
Sakarya Üniversitesi Fen Bilimleri Enstitüsü Dergisi, 2019 For each non-null Frenet curve \gamma in Minkowski 3-space, there exists a unique unit speed non-null curve tangentto the principal binormal vector field of \gamma. We briefly call this curve the conjugate mate of\gamma . The aim of thispaper is to prove
Alev Kelleci
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