Commun. Korean Math. Soc. 2017; 32(1): 165-173
Online first article January 18, 2017 Printed January 31, 2017
https://doi.org/10.4134/CKMS.c160052
Copyright © The Korean Mathematical Society.
Kyeonghee Jo
Mokpo National Maritime University
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
MSC numbers: 52A20, 53C12, 57N16, 57S25
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