Repository: DepositOnce â€“ institutional repository for research data and publications of TU Berlin https://depositonce.tu-berlin.de
@techreport { 11303_15938,
author = {Vrancken, Luc},
title = {Centroaffine differential geometry and its relations to horizontal submanifolds},
institution = {Technische UniversitÃ¤t Berlin},
year = {1999},
doi = {10.14279/depositonce-14711},
url = {http://dx.doi.org/10.14279/depositonce-14711},
keywords = {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.}
}