SOME THEOREMS ON CONVEX HYPERSURFACES IN AN AFFINE SPACE
Citation：
Yang Wenmao.SOME THEOREMS ON CONVEX HYPERSURFACES IN AN AFFINE SPACE[J].Chinese Annals of Mathematics B,1988,9(3):297~310
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Authors：
Yang Wenmao;
Abstract：
Let $M$ and $\[{M^*}\]$ be hypersurfaces in an affine space $\[{A^{n + 1}}\]$ of dimension n+1. The main results of this paper are the following:
(1)Two types of integral formulas for and $\[{M^*}\]$,
(2)Some conditions for an affine convex hypersurface to be an affine sphere.
(3)Some conditions for $M$ and $\[{M^*}\]$ to be different only by an affine transformation or a translation.
