Author(s) :
Luc Vrancken
Preprint series of the Institute of Mathematics, Technische Universität Berlin
Preprint 641-1999
MSC 2000
- 53A15 Affine differential geometry
Abstract :
We relate centroaffine immersions $f:M^n\to R^{n+1}$ to horizontal immersions
$g$ of $M^n$ into $S^{2n+1}_{n+1}(1)$ or $H^{2n+1}_n(-1)$. We also show
that $f$ is an equiaffine sphere, i.e. the centroaffine normal is a constant multiple
of the Blaschke normal, if and only if $g$ is minimal.