Submanifolds of constant sectional curvature with parallel or constant mean curvature

DOI10.2748/tmj/1178225953zbMath0767.53014OpenAlexW2030051642MaRDI QIDQ1802563

Ruy Tojeiro, Marcos Dajczer

Publication date: 17 June 1993

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

Full work available at URL: https://doi.org/10.2748/tmj/1178225953

zbMATH Keywords

isometric immersionsmean curvatureflat normal bundle

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Local submanifolds (53B25)

Related Items (3)

Flat totally real submanifolds of \(CP^ n\) and the symmetric generalized wave equation ⋮ Einstein submanifolds with parallel mean curvature ⋮ On the mean curvature of submanifolds with nullity

Cites Work

• Reduction of the codimension of regular isometric immersions
• On compositions of isometric immersions
• Submanifolds of constant positive curvature. I
• Umbilics of constant curvature immersions
• Isometric immersions of Riemannian products
• Isometric immersions of space forms in space forms
• Flat Surfaces with Mean Curvature Vector of Constant Length in Euclidean Spaces
• Submanifolds with Constant Mean Curvature II
• On the Isometric Immersions in Euclidean Space of Manifolds with Nonnegative Sectional Curvatures. II
• Isometric Immersions of Constant Mean Curvature and Triviality of the Normal Connection

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