Preprint A468/2006
Blaschke's problem for hypersurfaces
Ruy Tojeiro | Dajczer, Marcos
Keywords:
We solve Blaschke's problem for hypersurfaces of dimension $n\geq 3$. Namely, we determine all pairs of Euclidean hypersurfaces $f,\tilde{f}\colon\,M^n\to\R^{n+1}$ that induce conformal metrics on $M^n$ and envelop a common sphere congruence in $\R^{n+1}$.