On highly eccentric cones.

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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Alberto Seeger, Mounir Torki. On highly eccentric cones.. Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, Springer Verlag, 2014, 55 (2), ⟨10.1007/s13366-013-0171-5⟩. ⟨hal-01326102⟩

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