direkt zum Inhalt springen

direkt zum Hauptnavigationsmenü

Sie sind hier

TU Berlin

Inhalt des Dokuments

Preprint 641-1999

Centroaffine differential geometry and its relations to horizontal submanifolds

Source file is available as :  

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.

Zusatzinformationen / Extras

Direktzugang

Schnellnavigation zur Seite über Nummerneingabe