Geodesic
Classification of multidimensional submanifolds in Euclidean space with a totally geodesic Gauss image
Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 225-246 
Yu. A. Nikolaevskii. Classification of multidimensional submanifolds in Euclidean space with a totally geodesic Gauss image. Sbornik. Mathematics, Tome 76 (1993) no. 1, pp. 225-246. http://geodesic.mathdoc.fr/item/SM_1993_76_1_a12/
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Voir la notice de l'article provenant de la source Math-Net.Ru

A complete classification is given of submanifolds that have a totally geodesic Gauss image in the ambient Grassmann manifold. The arguments are based on a study of the tangent space to the Gauss image of the submanifold and Cartan's theorem on totally geodesic submanifolds of symmetric spaces.

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