Results 191 to 200 of about 608 (216)

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

Revista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Pascual Lucas, JOSÉ Antonio Ortega-Yagües, Lucas Pascual   +2 more
exaly   +3 more sources

The slant helix solutions of the equilibrium shape equations for the biopolymer chains

Chinese Journal of Physics, 2017
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Morteza Yavari
exaly   +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.
Talat Körpinar
exaly   +3 more sources

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 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