Open Access
December 2008 A characterization of convex cones
Kyeonghee Jo
Proc. Japan Acad. Ser. A Math. Sci. 84(10): 175-178 (December 2008). DOI: 10.3792/pjaa.84.175


Any convex cone has an accumulation point in the base by the action of its automorphism group. In this paper, we prove the converse of this statement, more precisely, a convex domain $\Omega$ with a face $F$ of codimension 1 is a cone over $F$ if there is an Aut($\Omega$)-orbit accumulating at a point of $F$.


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Kyeonghee Jo. "A characterization of convex cones." Proc. Japan Acad. Ser. A Math. Sci. 84 (10) 175 - 178, December 2008.


Published: December 2008
First available in Project Euclid: 2 December 2008

zbMATH: 1163.57024
MathSciNet: MR2483562
Digital Object Identifier: 10.3792/pjaa.84.175

Primary: 32F45 , 52A20 , 57N16 , 57S20

Keywords: cone , Convex domain , Projective transformation

Rights: Copyright © 2008 The Japan Academy

Vol.84 • No. 10 • December 2008
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