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One Parametric Motion in Klein Spaces

Published online by Cambridge University Press:  22 January 2016

Minoru Kurita*
Affiliation:
Nagoya University
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On the euclidean plane one-parametric motion is in general a roulett motion, exceptions being a translation at each instant and a rotation with a fixed center; here we mean by a roulett motion a motion in which a certain curve rolls on another fixed curve without slipping. In this paper we extend this fact to the case of Klein spaces and investigate in detail especially the cases of the euclidean space and the projective space.

Type
Research Article
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1950