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Eine Übertragung des Satzes von Bonnet auf Regelflächen im einfach isotropen Raum

A transfer of bonnet's theorem to ruled surfaces in the isotropic space

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Abstract

J (1)3 . Bonnet's classical theorem about ruled surfaces in the three-dimensional Euclidean space does not hold inJ (1)3 . To get an isotropic version of this theorem the terms “geodetic line” and “isogonal-trajectory of the generators” are replaced by new, the isotropic space adapted properties of curves on ruled surfaces.

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Literatur

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Authors and Affiliations

  1. Fachbereich Mathematik, Universität Dortmund, Postfach 500 500, D-4600, Dortmund, Bundesrepublik Deutschland

    Randolf Arnold

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  1. Randolf Arnold
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Arnold, R. Eine Übertragung des Satzes von Bonnet auf Regelflächen im einfach isotropen Raum. Monatshefte für Mathematik 106, 99–105 (1988). https://doi.org/10.1007/BF01298831

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  • DOI: https://doi.org/10.1007/BF01298831

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