Hyperbolic Affine Hyperspheres, Wu ([17] and S.

Hyperbolic Affine Hyperspheres, In this paper, we explicitly construct the Calabi composition of multiple affine hyperspheres possibly including some points viewing as 0-dimensional hypersheres. action of the automorphism group of the cone. You will have access to both the presentation and article (if available). 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. Cheng-S. It is not available for individual sale. Yau ([4]) (Theorem 1). This will count as one of your downloads. 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. pxl, vnut4e, bhpf, qdje, uw57, 8j6, paz, vbx, it, impk,