ON THE CURVATURE THEORY OF NON-NULL CYLINDRICAL SURFACES IN MINKOWSKI 3-SPACE

Year 2016, Volume: 6 Issue: 1, 22 - 29, 01.06.2016

B. Şahiner M. Kazaz H. H. Uğurlu

Abstract

This paper presents the curvature theory of non-null cylindrical surfaces in Minkowski 3-space. The denition 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.

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