| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606632 | Differential Geometry and its Applications | 2009 | 18 Pages |
Abstract
In this paper, we study locally strongly convex affine hypersurfaces of Rn+1Rn+1 that have parallel cubic form with respect to the Levi-Civita connection of the affine Berwald–Blaschke metric; it is known that they are affine spheres. In dimension n⩽7n⩽7 we give a complete classification of such hypersurfaces; in particular, we present new examples of affine spheres.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Zejun Hu, Haizhong Li, Udo Simon, Luc Vrancken,