科研之友
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摘要
We find that for any n-dimensional, compact, convex set K subset of Rn+ 1 there is an affinely-spherical hypersurface M subset of Rn+ 1 with center in the relative interior of K such that the disjoint union M boolean OR K is the boundary of an (n + 1)-dimensional, compact, convex set. This so-called affine hemisphere M is uniquely determined by K up to affine transformations, it is of elliptic type, is associated with K in an affinely-invariant manner, and it is centered at the Santalo point of K.
- 出版日期2018
