Results 11 to 20 of about 125,426 (247)
A new version of energy for involute of slant helix with bending energy in the Lie groups [PDF]
Acta Scientiarum: Technology, 2019 In this paper, we study energy of involute curves for slant helix in the Lie group. With this new representation, we illistrate some figures of energy by elastica.
Talat Körpınar
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A New Kind of Slant Helix in Lorentzian (n + 2)- Spaces [PDF]
Kyungpook mathematical journal, 2016 In this paper, we introduce a new kind of slant helix for null curves called null W-n-slant helix and we give a definition of new harmonic curvature functions of a null curve in terms of W-n in (n + 2)-dimensional Lorentzian space M-1(n+2) (for n > 3 ...
Fatma Ates +2 more
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A Study on Quaternionic B-2-Slant Helix in Semi-Euclidean 4-Space
, 2016 In this work, we defined a quaternionic B-2-slant helix in semi-Euclidean space E-2(4). Then we gave Frenet formulae for the quaternionic curve in semi-Euclidean space E-2(4). Also, we investigated some necessary and sufficient conditions for a space curve to be a quaternionic B-2-slant helix according to quaternionic curves in semi-Euclidean space E-2(
Babadag, Faik
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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 In classical curve theory, the geometry of a curve in three dimen- sions is essentially characterized by their invariants, curvature and torsion. When they are given, the problem of nding a corresponding curve is known as 'solving natural equations'. Explicit solutions are known only for a handful of curve classes, including notably the plane curves ...
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V-n-slant helices in Euclidean n-space E-n [PDF]
, 2009 In this paper, we give a definition of harmonic curvature functions in terms of V-n and we define a new kind of a slant helix. We call this new slant helix a V-n-slant helix in n-dimensional Euclidean space En and define it by using new harmonic ...
Hacisalihoglu, H. Hilmi +2 more
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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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CHARACTERIZATION OF BI-NULL SLANT(BNS) HELICES OF (k,m )-TYPE IN R^3_1 AND R^5_ 2 [PDF]
, 2023 The present study discusses bi-null slant helices of $(k, m)$ type in $R_2^5$ and give the characterization for a curve to be certain $(k,m)$ type bi null slant helix (BNS helix).
Khan, Shujaul Hasan +2 more
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