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 
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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     author = {Alexander Yampolsky},
     title = {On projective classification of points of a submanifold in the {Euclidean} space},
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     pages = {364--371},
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     url = {http://geodesic.mathdoc.fr/item/JMAG_2020_16_3_a7/}
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Voir la notice de l'article provenant de la source Math-Net.Ru

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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