On isometric immersions with flat normal connection of the hyperbolic space \(L^n\) into Euclidean space \(E^{n+m}\)

DOI10.1134/S0001434607070024zbMath1219.53057MaRDI QIDQ635526

Dmitry V. Bolotov

Publication date: 20 August 2011

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

zbMATH Keywords

hyperbolic spacemean curvatureimmersionflat normal connectionprincipal directionsGrassmannian imagequasiisometric space

Mathematics Subject Classification ID

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

Related Items (3)

Isometric immersions with flat normal bundle between space forms ⋮ On submanifolds with negative curvature in Euclidean space ⋮ Unnamed Item

Cites Work

• A non-immersion theorem for hyperbolic manifolds
• Non-immersion theorem for a class of hyperbolic manifolds
• Efimov's theorem about complete immersed surfaces of negative curvature
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space
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