Isometric immersions of the hyperbolic plane into the hyperbolic space

DOI10.1007/BF01349228zbMath0256.53042MaRDI QIDQ5921577

Katsumi Nomizu

Publication date: 1973

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/162488

Mathematics Subject Classification ID

Global submanifolds (53C40) Non-Euclidean differential geometry (53A35)

Related Items (9)

Cylindricity of Isometric Immersions between Hyperbolic Spaces ⋮ Isometric immersions with singularities between space forms of the same positive curvature ⋮ Semi-symmetric Lorentzian hypersurfaces in Lorentzian space forms ⋮ A parametrization of isometric immersions between anti-de Sitter space-times ⋮ Isometric immersions of Riemannian spaces in Euclidean spaces ⋮ Isometric immersions of the hyperbolic plane into the hyperbolic space ⋮ Complete submanifolds with relative nullity in space forms ⋮ Isometric immersions from the hyperbolic space $H^2(-1)$ into $H^3(-1)$ ⋮ Codimension one totally geodesic foliations of \(H^ n\)

Cites Work

• Unnamed Item
• Surfaces of Gaussian curvature zero in Euclidean 3-space
• On Spherical Image Maps Whose Jacobians Do Not Change Sign
• Isometric immersions of constant curvature manifolds

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