Geodesic
Submanifolds with Nonparallel First Normal Bundle
Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 330-337

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We provide a complete local geometric description of submanifolds of spaces with constant sectional curvature where the first normal spaces, that is, the subspaces spanned by the second fundamental form, form a vector subbundle of the normal bundle of low rank which is nonparallel in the normal connection. We also characterize flat submanifolds with flat normal bundle in Euclidean space satisfying the helix property.
DOI : 10.4153/CMB-1994-049-3
Mots-clés : Primary: 53B25, secondary: 53C40 
Dajczer, Marcos; Tojeiro, Ruy. Submanifolds with Nonparallel First Normal Bundle. Canadian mathematical bulletin, Tome 37 (1994) no. 3, pp. 330-337. doi: 10.4153/CMB-1994-049-3
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