On highly eccentric cones.

Alberto Seeger (1) , Mounir Torki (2)

1 LMA - EA2151 Laboratoire de Mathématiques d'Avignon
2 LIA - Laboratoire Informatique d'Avignon

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.

Mots clés: Convex cone; Incenter; Circumcenter; Eccentricity of a proper cone

Domaines: Mathématiques [math]

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