A curvature invariant for centroaffine hypersurfaces. II. (English) Zbl 0940.53009
Dillen, F. (ed.) et al., Geometry and topology of submanifolds, VIII. Proceedings of the international meeting on geometry of submanifolds, Brussels, Belgium, July 13-14, 1995 and Nordfjordeid, Norway, July 18-August 7, 1995. Singapore: World Scientific. 341-350 (1996).
From the introduction: We continue our investigation of a new intrinsic curvature invariant for definite centroaffine hypersurfaces started in [C. Scharlach, U. Simon, L. Verstraelen and L. Vrancken, Beitr. Algebra Geom. 38, 437-458 (1997; Zbl 0884.53013)]. For such hypersurfaces \(f: M^n\to \mathbb{R}^{n+1}\), the centroaffine normal \(\xi=-f\) induces a definite symmetric bilinear form on \(M^n\). Whereas in the previously mentioned paper, we concentrated on the positive definite case and only mentioned other results, here we will give more details for the negative definite case.
For the entire collection see [Zbl 0901.00043].
For the entire collection see [Zbl 0901.00043].
MSC:
| 53A15 | Affine differential geometry |
| 53A55 | Differential invariants (local theory), geometric objects |
