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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2023, Volume 224, Pages 109–114
DOI: https://doi.org/10.36535/0233-6723-2023-224-109-114 (Mi into1177) 		 
Hypersurfaces with proportional principal curvatures in $(n+1)$-dimensional Euclidean space

E. Yu. Kuzmina

Irkutsk State University
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DOI: https://doi.org/10.36535/0233-6723-2023-224-109-114
Abstract: 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.
Keywords: $G$-structure, differentiable manifold, structural function, thin fan, initial pair.
Document Type: Article
UDC: 514.75
MSC: 53A07
Language: Russian
Citation: E. Yu. Kuzmina, “Hypersurfaces with proportional principal curvatures in $(n+1)$-dimensional Euclidean space”, Differential Equations and Optimal Control, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 224, VINITI, Moscow, 2023, 109–114
Citation in format AMSBIB
\Bibitem{Kuz23}
\by E.~Yu.~Kuzmina
\paper Hypersurfaces with proportional principal curvatures in $(n+1)$-dimensional Euclidean space
\inbook Differential Equations and Optimal Control
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2023
\vol 224
\pages 109--114
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into1177}
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