Results 211 to 220 of about 195,464 (230)

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

A NEW VERSION OF ENERGY FOR SLANT HELIX WITH BENDING ENERGY IN THE LIE GROUPS

2020
In this work, we research geometrical interpretation involved with the energy on Lie groups. We explore the geometric properties of spherical graphics by way of energy. We apply totally diverse discussion and approach to illustrate bending energy functional for slant helix.
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

Characterization Of Slant Helix İn Galilean And Pseudo-Galilean Spaces

We consider a curve  (s) parameterized by the arc length s in Galilean and Pseudo-Galilean spaces and denote by T, N,B the Frenet frame of  (s) . We say that is a slant helix if there exists a fixed direction U of 3 G and 1 3 G such that the functions 3 , G N U and 1 3 , G N U are constant.
Karacan, Murat Kemal, Tunçer, Yılmaz
openaire   +1 more source

Finding Energy of the Slant Helix Strip by Using Classic Energy Methods on Joachimsthal Theorem

, 2017
F. Kaya
semanticscholar   +1 more source

Pointwise Slant Curves in Pseudo-Hermitian Geometry

Mediterranean Journal of Mathematics, 2022
Ji-Eun Lee
semanticscholar   +1 more source

A Study On Quaternionic \(B_2\)-Slant Helix In Semi-Euclidean 4-Space

, 2016
Faik Babadağ
semanticscholar   +1 more source

Helix surfaces and slant helices in the three-dimensional anti-De Sitter space

, 2017
P. Lucas, J. Ortega-Yagües
semanticscholar   +1 more source