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On the self-perimeter of quadrangles for gauges

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Abstract

We give a lower bound on the self-perimeter of unit circles of convex distance functions (gauges) that have the shapes of quadrangles.

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Authors and Affiliations

  1. Faculty of Mathematics, University of Technology, 09107, Chemnitz, Germany

    H. Martini

  2. Department of Industrial Computer Technologies, Cherkassy State Technological University, Shevchenko Blvd., 460, Cherkassy, 18006, Ukraine

    A. Shcherba

Authors
  1. H. Martini
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  2. A. Shcherba
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Correspondence to A. Shcherba.

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Martini, H., Shcherba, A. On the self-perimeter of quadrangles for gauges. Beitr Algebra Geom 52, 191–203 (2011). https://doi.org/10.1007/s13366-011-0018-x

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  • DOI: https://doi.org/10.1007/s13366-011-0018-x

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