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 $\R^{n+1}$.

Anexos:

• blaschke.pdf