Isotropic submanifolds in a Euclidean space

DOI10.3792/pjaa.62.382zbMath0614.53043OpenAlexW1963826825MaRDI QIDQ1819753

Takehiro Itoh

Publication date: 1986

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.62.382

zbMATH Keywords

Gauss mapminimal submanifoldparallel second fundamental formisotropic submanifoldtotally umbilical

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items (3)

Submanifolds with totally umbilical Gauss image ⋮ Ric-semisymmetric submanifolds ⋮ Totally umbilical manifolds in \(G(2,n)\). I

Cites Work

• Isotropic minimal submanifolds in a space form
• Submanifolds of a Euclidean space with homothetic Gauss map
• Planar geodesic immersions
• Immersionen mit paralleler zweiter Fundamentalform: Beispiele und Nicht- Beispiele
• Isotropic Immersions and Veronese Manifolds

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