A generalization of Bonnet's theorem on Darboux surfaces

DOI10.1134/S0001434614050198zbMath1315.53007OpenAlexW2039668887MaRDI QIDQ2342035

I. I. Bodrenko

Publication date: 8 May 2015

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434614050198

zbMATH Keywords

Euclidean spaceGaussian curvatureprincipal curvatureline of curvatureBonnet theoremDarboux tensorDarboux surface\(n\)-dimensional hypersurface

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Surfaces in Euclidean and related spaces (53A05)

Related Items (2)

On submanifolds with a parallel normal vector field in spaces of constant curvature ⋮ Conditions for the parallelism of the normal curvature tensor of submanifolds

Cites Work

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