Geodesic
On the osculating spaces of submanifolds in Euclidean spaces
Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 45

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This paper is a continuation of the papers [2], [3], [4], [5] and [6]. In this paper the osculating spaces of arbitrary order of a manifold embedded in Euclidean space are considered. A better estimation of their dimensions as well as the description of its basis are given.
Classification : 53A05 53A07
Keywords: Osculating spaces, normal curvatures, normal vectors. 
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Kostadin Trenčevski. On the osculating spaces of submanifolds in Euclidean spaces. Kragujevac Journal of Mathematics, Tome 36 (2012) no. 1, p. 45 . http://geodesic.mathdoc.fr/item/KJM_2012_36_1_a3/