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http://dx.doi.org/10.4134/CKMS.c160052

ASYMPTOTIC FOLIATIONS OF QUASI-HOMOGENEOUS CONVEX AFFINE DOMAINS  

Jo, Kyeonghee (Division of Liberal Arts and sciences Mokpo National Maritime University)
Publication Information
Communications of the Korean Mathematical Society / v.32, no.1, 2017 , pp. 165-173 More about this Journal
Abstract
In this paper, we prove that the automorphism group of a quasi-homogeneous properly convex affine domain in ${\mathbb{R}_n}$ acts transitively on the set of all the extreme points of the domain. This set is equal to the set of all the asymptotic cone points coming from the asymptotic foliation of the domain and thus it is a homogeneous submanifold of ${\mathbb{R}_n}$.
Keywords
asymptotic cone; foliation; quasi-homogeneous domain;
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Times Cited By KSCI : 1  (Citation Analysis)
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