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In this article we show that every quasi-homogeneous convex a±ne domain whose boundary is everywhere di??erentiable except possibly at a ¯nite number of points is either homogeneous or covers a compact a±ne manifold. Actually we show that such
a domain must be a non-elliptic strictly convex cone if it is not homogeneous.
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참고문헌 (10)
참고문헌 신청
/ 1960 / Sur les varietes localement anes et projectives : 229 ~ 332
/ 19671967 / translated from Math. Zametki 1 : 235 347 ~ 354
/ 1968 / Deformation des connexions localement plats : 103 ~ 114
/ 1970 / Sur les automorphismes anes des ouverts convexes saillants (3) : 641 ~ 665
/ 1974 / The ane structures on the real two-torus 11 : 181 ~ 210
/ 19671967 / translated from Math. Zametki 1 : 235 347 ~ 354
/ 1968 / Deformation des connexions localement plats : 103 ~ 114
/ 1970 / Sur les automorphismes anes des ouverts convexes saillants (3) : 641 ~ 665
/ 1974 / The ane structures on the real two-torus 11 : 181 ~ 210
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