Slant Helix Curves and Acceleration Centers in Minkowski 3-Space E_1~3

摘要

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 α = α(t),where N, C and W correspond to unit principal normal vector field, derivative vector field of unit principal normal vector field and Darboux vector field (or angular-velocity vector field) of the non-null unit speed curve a, respectively.