Abstract
We consider 3-dimensional conformally flat hypersurfaces of E4 with constant Gauss-Kronecker curvature. We prove that those with three different principal curvatures must necessarily have zero Gauss-Kronecker curvature.
Publisher
Cambridge University Press (CUP)
Reference9 articles.
1. [5] Hertrich-Jeromin: U. , Über konform flache Hyperflächen in vierdimensionalen Raumformen, PhD thesis (Tuebingen University, Berlin, 1994).
2. [3] Defever F. , ‘Conformally flat hypersurfaces of E4 with constant mean curvature’, (preprint).
3. Conformally Flat Manifolds
4. Canonical metrics for certain conformally Euclidean spaces
of dimension three and codimension one
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