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Simplices with edges of equal length in finite dimensional Banach spaces

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Abstract

Natural generalizations of planar results on volume ratios with respect to convex bodies in finite dimensional Banach spaces are given. The underlying paper contains inequalities for the volume of simplices with edges of equal length in a Banach space.

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Authors and Affiliations

  1. Institut f. Algebra und Geometrie, Otto-von-Guericke-Univ. Magdeburg, Postfach 4120, D-39016, Magdeburg, Germany

    Bernulf Weißbach

  2. Institut f. Mathematik und Informatik, Pädagogische Hochschule Erfurt, Postfach 307, D-99006, Erfurt, Germany

    Bernd Wernicke

Authors
  1. Bernulf Weißbach
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  2. Bernd Wernicke
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Dedicated to Professor Helmut Mäurer on the occasion of his 60th birthday

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Weißbach, B., Wernicke, B. Simplices with edges of equal length in finite dimensional Banach spaces. J Geom 56, 190–195 (1996). https://doi.org/10.1007/BF01222695

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  • DOI: https://doi.org/10.1007/BF01222695

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