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Some applications of cross-section measures in Minkowski spaces

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Periodica Mathematica Hungarica Aims and scope Submit manuscript

Summary

The purpose of this paper is to establish extremal values for inner and outer radii of the unit ball of a Minkowski space for the Holmes--Thompson and Busemann measures. Furthermore, we confirm a conjecture of C. A. Rogers and G. C. Shephard on ellipsoids.

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Authors and Affiliations

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

    Horst Martini

  2. Department of Mathematics, University of Houston-Clear Lake, Houston, TX 77058 USA

    Zokhrab Mustafaev

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  1. Horst Martini
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  2. Zokhrab Mustafaev
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Martini, H., Mustafaev, Z. Some applications of cross-section measures in Minkowski spaces. Period Math Hung 53, 185–197 (2006). https://doi.org/10.1007/s10998-006-0031-2

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  • DOI: https://doi.org/10.1007/s10998-006-0031-2

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