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Maße für gerichtete Geraden und nicht-symmetrische Pseudometriken in der Ebene II

Measures of orientated straight lines and non-symmetric pseudo-metrics in the plane II

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Abstract

We continue our investigations started in a paper with the same title. The γ-length of a curve defined in this paper can be written as an integral along the curve. Furthermore, we determine necessary and sufficient conditions for the existence of a measure of orientated lines which generates a given non-symmetric pseudo-metric.

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Authors and Affiliations

  1. Institut B für Mathematik, Universität Braunschweig, Pockelsstraße 14, D-3300, Braunschweig, Bundesrepublik Deutschland

    Frank Piefke

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  1. Frank Piefke
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Herrn Prof. Dr. H.-J. Kanold zum 65. Geburtstag gewidmet

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Piefke, F. Maße für gerichtete Geraden und nicht-symmetrische Pseudometriken in der Ebene II. Monatshefte für Mathematik 89, 45–56 (1980). https://doi.org/10.1007/BF01571564

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  • DOI: https://doi.org/10.1007/BF01571564

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