Results 1 to 10 of about 195,464 (230)

An Alternative Method for Determination of the Position Vector of a Slant Helix

Journal of New Theory, 2023
In this paper, we provide an alternative method to determine the position vector of a slant helix with the help of an alternative moving frame. We then construct a vector differential equation in terms of the principal normal vector of a slant helix ...
Gizem Güzelkardeşler, Burak Şahiner
doaj   +4 more sources

Framed general helix and framed ζ3-slant helix in ℝ4

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023
In this paper, we focus on general and ζ3-slant helices with any singular points in four-dimensional Euclidean space, which are called framed general and ζ3-slant helices, respectively.
Ateş Mine, Akyiğit Mahmut
doaj   +4 more sources

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
doaj   +5 more sources

Slant Helices and Darboux Helices in Myller Configuration [PDF]

Axioms, 2023
In this paper, we study slant helices (or ξ_2-helices) and Darboux helices in the Myller configuration M. We demonstrate that a curve in M is a slant helix if and only if it is a Darboux helix.
Mehmet Önder, Yanlin Li, Li Yanlin
exaly   +4 more sources

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.
Melih Turgut
exaly   +6 more sources

A Note on Fermi Walker Derivative with Constant Energy for Tangent Indicatrix of Slant Helix in the Lie Groups

Journal of Advanced Physics, 2018
In this manuscript, we present concept of new energy with Fermi-Walker (FW) derivative of tangent spherical image by using FW parallelism in Lie goups. By way of innovative illustration, we obtain FW parallelism condition for some vector fields. Furthermore, we obtain new characterization by some equations.
Talat Körpinar
exaly   +4 more sources

A New Version of Fermi Walker Derivative with Constant Energy for Normal Image of Slant Helix in the Lie Groups

Differential Equations and Dynamical Systems, 2018
Fermi–Walker derivative and energy of curves play an important role in sensible guidelines. In this study we formulate a new energy for Fermi–Walker (FW) derivative of normal spherical image by using FW parallelism in Lie groups.
T. Körpınar
exaly   +5 more sources

A slant helix characterization in Riemann-Otsuki space [PDF]

Mathematica Moravica, 2012
Yildirim Yilmaz Münevver, M. Külahçı, O. A. Öğrenmiş   +2 more
exaly   +3 more sources

Characterization of the Slant Helix as Successor Curve of the General Helix [PDF]

International Electronic Journal of Geometry, 2014
In classical curve theory, the geometry of a curve in three dimensions is essentially characterized by their invariants, curvature and torsion. When they are given, the problem of finding a corresponding curve is known as 'solving natural equations ...
Toni Menninger
semanticscholar   +6 more sources

New Approach to Slant Helix

International Electronic Journal of Geometry, 2019
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 ...
B. Yılmaz, Aykut Has
semanticscholar   +6 more sources