Integral Invariants of Mannheim Offsets of Ruled Surfaces

Abstract

In this study, we identify the instantaneous Pfaffian vector of the closed motion de.ned along the striction curve of the ruled surface φ* which is a Mannheim offset of closed ruled surface φ in E3. Using this vector, we get the Steiner rotation vector and the Steiner translation vector of this motion and give new characteristic results about the pitch and the angle of the pitch which are the integral invariants of Mannheim offsets of ruled surface. © 2016, Tsing Hua University. All rights reserved.