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- W4300599370 abstract "We find that for any n-dimensional, compact, convex subset K of R^{n+1} there is an affinely-spherical hypersurface M in R^{n+1} with center at the relative interior of K, such that the disjoint union of M and 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." @default.
- W4300599370 created "2022-10-03" @default.
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- W4300599370 date "2015-08-03" @default.
- W4300599370 modified "2023-10-17" @default.
- W4300599370 title "Affine hemispheres of elliptic type" @default.
- W4300599370 doi "https://doi.org/10.48550/arxiv.1508.00474" @default.
- W4300599370 hasPublicationYear "2015" @default.
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