Results 201 to 210 of about 3,181 (225)

Slant helix of order n and sequence of Darboux developables of principal‐directional curves

Mathematical Methods in the Applied Sciences, 2020
In this paper, we consider the sequence of the principal‐directional curves of a curve γ and define the slant helix of order n (n‐SLH) of the curve in Euclidean 3‐space. The notion is an extension of the notion of slant helix. We present an important formula that determines if the nth principal‐directional curve of γ can be the slant helix of order n (
Yanlin Li, Zhigang Wang, Tiehong Zhao
openaire   +1 more source

Slant Helix Curves and Acceleration Centers in Minkowski 3-Space Ε³₁

Journal of Advanced Physics, 2017
In this study, some basic concepts (e.g., instant screw axis (ISA), instantaneous pole points, acceleration pole points) will be given and analyzed about an alternative one-parameter motion of a rigid-body in 3-dimensional Minkowski space Ε31 obtained by moving coordinate frame {N, C, W} along a non-null unit speed curve α = α(t), where N, C and W ...
Murat Bekar, Yusuf Yayli
openaire   +1 more source

On Curves ofN_k–Slant Helix andN_k–Constant Precession in Minkowski 3–Space

Journal of Dynamical Systems and Geometric Theories, 2014
AbstractIn this paper, firstly N k -timelike (spacelike) slant helix in 3- dimensional Minkowski space is given by using an alternative coordinate frame which is obtained with the help of principal direction curves to Frenet frame {T, N, B}. Secondly, the axis of slant helix according to different conditions of curves is obtained. Lastly, curves of Nk -
Beyhan Uzunoğlu, Çağla Ramis, Yusuf Yayli   +2 more
openaire   +1 more source

Slant Helix Curves and Acceleration Centers

2014
In this study, an alternative one-parameter motion to Frenet motion of a rigid-body in 3-dimensional Euclidean space E-3 is given by moving the coordinate frame {N,C,W} instead of the Frenet frame {T,N,B} along a unit speed curve alpha(t), where N,C and W correspond, respectively, to unit principal normal vector field, derivative vector field of the ...
BEKAR, Murat, YAYLI, Yusuf
openaire   +3 more sources

Tangent Bishop spherical images of a biharmonic B-slant helix in the Heisenberg group Heis3

2011
In this paper, biharmonic slant helices are studied according to Bishop frame in the Heisenberg group Heis3. We give necessary and sufficient conditions for slant helices to be biharmonic. The biharmonic slant helices arecharacterized in terms of Bishop frame in the Heisenberg group Heis3.
Korpinar, T., Turhan, E., Asil, V.
openaire   +1 more source

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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +3 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.
openaire   +2 more sources

A Study on Quaternionic B-2-Slant Helix in Semi-Euclidean 4-Space

2020
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(
openaire   +1 more source

Slant Helix Curves and Acceleration Centers in Minkowski 3-Space E-1(3)

2017
In this study, some basic concepts (e.g., instant screw axis (ISA), instantaneous pole points, acceleration pole points) will be given and analyzed about an alternative one-parameter motion of a rigid-body in 3-dimensional Minkowski space. E-1(3) obtained by moving coordinate frame {N, C, W} along a non-null unit speed curve alpha = alpha(t), where N ...
Yayli, Yusuf, Bekar, MURAT
openaire   +1 more source

How the α-helix got its name

Nature Reviews Molecular Cell Biology, 2022
Martin Egli
exaly