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Centers and partial volumes of convex cones II. Advanced topics

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Abstract

This is the second part of an extensive work on volumetric centers and least partial volumes of proper cones in \(\mathbb {R}^n\). The first part [cf. Seeger and Torki (Beiträge Algebra Geom, 2014) Centers and partial volumes of convex cones. I: Basic theory] was devoted to presenting the general theory. We now treat some more specialized issues. The notion of least partial volume is a reasonable alternative to the classical concept of solid angle, whereas the concept of volumetric center is an alternative to the old notion of incenter.

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Authors and Affiliations

  1. Département de Mathématiques, Université d’Avignon, 33 rue Louis Pasteur, 84000, Avignon, France

    Alberto Seeger

  2. Université d’Avignon, CERI, 339 chemin de Meinajaries, 84911, Avignon, France

    Mounir Torki

Authors
  1. Alberto Seeger
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  2. Mounir Torki
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Correspondence to Alberto Seeger .

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Seeger , A., Torki, M. Centers and partial volumes of convex cones II. Advanced topics. Beitr Algebra Geom 56, 491–514 (2015). https://doi.org/10.1007/s13366-014-0221-7

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  • DOI: https://doi.org/10.1007/s13366-014-0221-7

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