Umbilics of conformally flat submanifolds in Euclidean space

DOI10.2748/TMJ/1178229686zbMath0425.53031OpenAlexW2135032173WikidataQ125658431 ScholiaQ125658431MaRDI QIDQ1135533

Masami Sekizawa

Publication date: 1980

Published in: Tôhoku Mathematical Journal. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2748/tmj/1178229686

zbMATH Keywords

second fundamental formumbilicconformally flat Riemannian manifoldpositive sectional curvatures

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40)

Related Items (2)

Umbilics of conformally flat submanifolds ⋮ Submanifolds with commuting normal vector field

Cites Work

• Unnamed Item
• Conformally flat submanifolds of Euclidean space
• Umbilics of constant curvature immersions
• On principal normal vector fields of submanifolds in a Riemannian manifold of constant curvature
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space

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