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13 p, 312.7 KB

Submanifolds with nonparallel first normal bundle revisited / Dajczer, Marcos ; Tojeiro, Ruy
In this paper, we analyze the geometric structure of a Euclidean submanifold whose osculating spaces form a nonconstant family of proper subspaces of the same dimension. We prove that if the rate of change of the osculating spaces is small, then the submanifold must be a (submanifold of a) ruled submanifold of a very special type. [...]
2014 - DOI (Digital Object Identifier)

10.5565/PUBLMAT_58114_08
Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 179-191

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