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Article

Kowalski, Oldřich ; Vlášek, Zdeněk
On double-ruled hypersurfaces in $\bold R^4$. (English). Commentationes Mathematicae Universitatis Carolinae, vol. 38 (1997), issue 2, pp. 407-411
MSC: 53A07, 53B20, 53C20, 53C40, 53C42 | MR 1455509 | Zbl 0891.53005
Keywords:
Riemannian manifold; ruled hypersurface
Summary:
We classify locally the induced Riemannian metrics of all irreducible double-ruled hypersurfaces in $\boldkey R^4$.
References:
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[3] Boeckx E., Kowalski O., Vanhecke L.: Riemannian manifolds of conullity two. World Scientific Publ., Singapore, 1996 (Monograph). MR 1462887 | Zbl 0904.53006
[4] Dajczer M., Gromoll D.: Rigidity of complete Euclidean hypersurfaces. J. Diff. Geom. 31 (1990), 401-416. MR 1037409 | Zbl 0667.53003
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