摘要
Let A<sup>n+1</sup> be a unimodular affine space of dimension n+1, M a C<sup>∞</sup> manifold of dimension n, and x: M→A<sup>n+1</sup> a locally strongly convex hypersurface with equiafline normalization. We denote by λ<sub>1</sub>, λ<sub>2</sub>,…, λ<sub>n</sub> the affine principal curvatures of x(M), and
<正> Let An+1be a unimodular affine space of dimension n+1, M a C∞manifold of dimension n, and x: M→An+1a locally strongly convex hypersurface with equiafline normalization. We denote by λ1, λ2,…, λnthe affine principal curvatures of x(M), and let