Centroaffine differential geometry and its relations to horizontal submanifolds
Tom 57 / 2002
Banach Center Publications 57 (2002), 21-28
MSC: Primary 53A15
DOI: 10.4064/bc57-0-3
Streszczenie
We relate centroaffine immersions 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.
