A characterization of convex cones
Jo, Kyeonghee
Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, p. 175-178 / Harvested from Project Euclid
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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 $F$.
Publié le : 2008-10-15
Classification:  Cone,  convex domain,  projective transformation,  57S20,  57N16,  52A20,  32F45 
@article{1228226749,
     author = {Jo, Kyeonghee},
     title = {A characterization of convex cones},
     journal = {Proc. Japan Acad. Ser. A Math. Sci.},
     volume = {84},
     number = {1},
     year = {2008},
     pages = { 175-178},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1228226749}
}

Jo, Kyeonghee. A characterization of convex cones. Proc. Japan Acad. Ser. A Math. Sci., Tome 84 (2008) no. 1, pp.  175-178. http://gdmltest.u-ga.fr/item/1228226749/