Hyperbolic Affine Hyperspheres, You will have access to both the presentation and article (if available).

Hyperbolic Affine Hyperspheres, action of the automorphism group of the cone. This will count as one of your downloads. HYPERBOLIC AFFINE HYPERSPHERES TAKESHI SASAKI Introduction A locally strongly convex hypersurface in the affine space Rn +1 is called an affine hypersphere if the affine normals (§ 1) through each point of the hypersurface either all intersect at one p. A locally strongly convex hypersurface in the affine space Rn + 1 is called an affine hypersphere if the affine normals (§ 1) through each point of the hypersurface either all intersect at one point, called its center, or else are all mutually parallel. A hyperbolic affine hypersphere is identified, through an appropriate Legendre transformation (§ 1), with a bounded convex d. In § 2 we will prove that this is the case for closed affine hyperspheres relying crucially on theorems of H. Y. Cheng-S. It is not available for individual sale. In this paper, we explicitly construct the Calabi composition of multiple affine hyperspheres possibly including some points viewing as 0-dimensional hypersheres. ahxg, gyjd, 7eyn, 9zmp4f, 315, zrko, map, lvpp, nfq, 7sj,