Begleitfiguren und Invariantensystem minimaler Differentiationsordnung von Kurven im reellenn-dimensionalen affinen Raum |
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Authors: | Dr. Hans Peter Paukowitsch |
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Affiliation: | 1. I. Institut für Geometrie, TU Wien, Gu?hausstra?e 27, A-1040, Wien, ?sterreich
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Abstract: | For such curves we know a moving frame and a complete system of invariants (affine curvatures) with respect to the group of volume-conserving transformations (unimodular group) of the order 2n?1 respectively 2n (see [1], p. 171). In this paper we study for a curvec a moving frame and a system of invariants of the minimal ordern+1, respectivelyn+2, by means of a curve with vanishing affine curvatures that has contact of maximal order withc. Forn=3 this is a result ofA. Winternitz ([1], p. 171 or [3], p. 86). |
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