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Some properties of surfaces with zero normal torsion in Euclidean space. (English) Zbl 0788.53015
Szenthe, J. (ed.) et al., Differential geometry and its applications. Proceedings of a colloquium, held in Eger, Hungary, August 20-25, 1989, organized by the János Bolyai Mathematical Society. Amsterdam: North- Holland Publishing Company. Colloq. Math. Soc. János Bolyai. 56, 253-262 (1992).
The author defines the notion of a tensor of Darboux type and submanifolds of Darboux type in Euclidean space. He studies submanifolds of Darboux type with vanishing tensor of Darboux type. By applying the classification theorem of surfaces with pointwise planar normal sections obtained in [the reviewer and S. J. Li, J. Geom. 26, No. 1, 21-34 (1986; Zbl 0587.53006)], the author classifies surfaces of Darboux type in Euclidean space.
For the entire collection see [Zbl 0764.00002].
MSC:
53B25 Local submanifolds
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