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Centers and partial volumes of convex cones I. Basic theory

  • Alberto SeegerEmail author
  • Mounir Torki
Original Paper

Abstract

We study the concept of least partial volume of a proper cone in \(\mathbb {R}^n\). This notion is a reasonable alternative to the classical concept of solid angle. In tandem, we study the concept of volumetric center of a proper cone. We compare this kind of center with the old notion of incenter.

Keywords

Partial volume of a convex cone Solid angle Volumetric center Incenter 

Mathematics Subject Classification

51M25 52A38 47L07 

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Copyright information

© The Managing Editors 2014

Authors and Affiliations

  1. 1.Département de MathématiquesUniversité d’AvignonAvignonFrance
  2. 2.Université d’Avignon, CERIAvignonFrance

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