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Hypersurfaces with proportional principal curvatures in $(n+1)$-dimensional Euclidean space
E. Yu. Kuzmina Irkutsk State University
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.
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
Linking options:
https://www.mathnet.ru/eng/into1177 https://www.mathnet.ru/eng/into/v224/p109
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Abstract page: | 41 | Full-text PDF : | 24 | References: | 17 |
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