Geodesic
On projective classification of points of a submanifold in the Euclidean space
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020) no. 3, pp. 364-371 Cet article a éte moissonné depuis la source Math-Net.Ru

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We propose the classification of points of a submanifold in the Euclidean space in terms of the indicatrix of normal curvature up to projective transformation and give a necessary condition for finiteness of number of such classes. We apply the condition to the case of three-dimensional submanifold in six-dimensional Euclidean space and prove that there are 10 types of projectively equivalent points. 
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     author = {Alexander Yampolsky},
     title = {On projective classification of points of a submanifold in the {Euclidean} space},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_2020_16_3_a7/}
}
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Alexander Yampolsky. On projective classification of points of a submanifold in the Euclidean space. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 16 (2020) no. 3, pp. 364-371. http://geodesic.mathdoc.fr/item/JMAG_2020_16_3_a7/

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