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On highly eccentric cones

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Abstract

This paper addresses the issue of estimating the largest possible eccentricity in the class of proper cones of \(\mathbb {R}^n\). The eccentricity of a proper cone is defined as the angle between the incenter and the circumcenter of the cone. This work establishes also various geometric and topological results concerning the concept of eccentricity.

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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. On highly eccentric cones. Beitr Algebra Geom 55, 521–544 (2014). https://doi.org/10.1007/s13366-013-0171-5

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  • DOI: https://doi.org/10.1007/s13366-013-0171-5

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