J. Korean Math. Soc. 2005; 42(3): 485-498
Printed May 1, 2005
Copyright © The Korean Mathematical Society.
Kyeonghee Jo
Seoul National University
In this article we show that every quasi-homogeneous convex affine domain whose boundary is everywhere differentiable except possibly at a finite number of points is either homogeneous or covers a compact affine manifold. Actually we show that such a domain must be a non-elliptic strictly convex cone if it is not homogeneous.
Keywords: quasi-homogeneous, homogeneous, divisible, strictly convex, affinely flat manifold
MSC numbers: 52A20, 53C24, 57N16
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