Title of article :
ON THE CURVATURE THEORY OF NON-NULL CYLINDRICAL SURFACES IN MINKOWSKI 3-SPACE
Author/Authors :
SAHINER, BURAK Department of Mathematics - Celal Bayar University - Manisa, Turkey , KAZAZ, MUSTAFA Department of Mathematics - Celal Bayar University - Manisa, Turkey , HUSEYIN UGURLU, HASAN Department of Secondary Education Science and Mathematics Teaching - Gazi University - Ankara, Turkey
Abstract :
This paper presents the curvature theory of non-null cylindrical surfaces
in Minkowski 3-space. The definition of the line of striction and generator trihedron
for cylindrical surfaces in Minkowski 3-space are given. The derivation formulae and
Darboux instantaneous rotation vectors of generator trihedrons which play important
role in robot kinematics are found. Moreover, curvature theory of a Lorentzian circular
cylinder is given as an example
Keywords :
Curvature theory , Cylindrical surface , Darboux instantaneous rotation vector , Generator trihedron , Minkowski space
Journal title :
Turkish World Mathematical Society Journal of Applied and Engineering Mathematics
