JACOBSTHAL FAMILY MODULO m

JACOBSTHAL FAMILY MODULO m

Y. YAZLIK, N. YILMAZ, N. TASKARA, K. USLU

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Abstract

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.