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http://dx.doi.org/10.4134/JKMS.2005.42.3.485

DIFFERENTIABILITY OF QUASI-HOMOGENEOUS CONVEX AFFINE DOMAINS  

JO KYEONGHEE (School of Mathematics Sciences Seoul National University)
Publication Information
Journal of the Korean Mathematical Society / v.42, no.3, 2005 , pp. 485-498 More about this Journal
Abstract
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 fiat manifold;
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