| Data: |
2014 |
| Resum: |
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. We also give a sharp estimate of the dimension of the rulings. |
| Drets: |
Tots els drets reservats.  |
| Llengua: |
Anglès |
| Document: |
Article ; recerca ; Versió publicada |
| Matèria: |
Euclidean submanifold ;
First normal bundle |
| Publicat a: |
Publicacions matemàtiques, Vol. 58, Núm. 1 (2014) , p. 179-191, ISSN 2014-4350 |
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