Abstract
Lie theory renders a concept of curvature χ for the geometries Σ(ℜ,ϰ) introduced by W. Benz [1]. Among regular curves in\(\mathfrak{L}\) the chains of Σ(ℜ,\(\mathfrak{L}\)) are characterized by χ=0.
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Literatur
W. Benz: Vorlesungen über Geometrie der Algebren 1973
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M. Werner: Zur Krümmungskennzeichnung der kinematischen Laguerre-Ketten, J. Geom. 19 (1982), 166–174
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Werner, M. Krümmungskennzeichnung der Ketten einer allgemeinen Geometrie Σ(ℜ,\(\mathfrak{L}\)). J Geom 22, 189–192 (1984). https://doi.org/10.1007/BF01222844
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DOI: https://doi.org/10.1007/BF01222844