Geodesic
Hypersurfaces with proportional principal curvatures in $(n+1)$-dimensional Euclidean space
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 109-114.

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In this paper, we find conditions of the existence of hypersurfaces in the $(n+1)$-dimensional Euclidean space $E^{n+1}$ whose main curvatures are proportional.
Mots-clés : $G$-structure
Keywords: differentiable manifold, structural function, thin fan, initial pair. 
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E. Yu. Kuzmina. Hypersurfaces with proportional principal curvatures in $(n+1)$-dimensional Euclidean space. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Differential Equations and Optimal Control, Tome 224 (2023), pp. 109-114. http://geodesic.mathdoc.fr/item/INTO_2023_224_a12/

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