Blaschke's problem for hypersurfaces

Details Blaschke's problem for hypersurfaces Blaschke's problem for hypersurfaces

2006-08-02

arxiv.org/abs/math/0608065v1

Mathematics

Differential Geometry

Scientific paper

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 envelope a common
sphere congruence in $\R^{n+1}$.

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