Surfaces with flat normal bundle: An explicit construction

DOI10.1016/S0926-2245(00)00042-5zbMath0992.53007arXivmath/9805012WikidataQ115338341 ScholiaQ115338341MaRDI QIDQ5931424

Evgeny V. Ferapontov

Publication date: 24 April 2001

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/9805012

zbMATH Keywords

\(W\)-congruencescoordinate net of curvature linesflat normal bundleRibaucour congruences

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 (6)

On critical normal sections for two-dimensional immersions in \({\mathbb R^{n+2}}\) ⋮ The vectorial Ribaucour transformation for submanifolds and applications ⋮ Pencils of compatible metrics and integrable systems ⋮ Projective differential geometry of higher reductions of the two-dimensional Dirac equation ⋮ Hypersurfaces of space forms carrying a totally geodesic foliation ⋮ Lie sphere geometry and integrable systems.

Cites Work

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