Über die Einbettung hyperbolischer Räume in euklidische Räume

DOI10.1007/BF01303796zbMath0067.14403OpenAlexW2328064632MaRDI QIDQ766631

Danilo Blanuša

Publication date: 1955

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/176972

zbMATH Keywords

Riemannian manifolds

Related Items (16)

The hyperbolic n-space as a graph in Euclidean (6n-6)-space ⋮ Absence of complete Lobachevskij planes in two classes of surfaces in \(E_ 4\) with \(K=-1\) ⋮ Affine embeddings of flat compact manifolds. I ⋮ Complete negatively curved immersed ends in \(\mathbb {R}^3\) ⋮ A weak comparison principle in tubular neighbourhoods of embedded manifolds ⋮ Isometric immersions of Riemannian spaces in Euclidean spaces ⋮ Isometrische Immersionen des \(n\)-dim. hyperbolischen Raumes \(H^n\) in \(E^{4n-3}\) ⋮ Isometric immersions of \(n\)-dim. hyperbolic spaces into \((4n-3)\)-dim. standard spheres and hyperbolic spaces ⋮ Isometric immersions of the Lobachevskij plane in \(E^ 4\) ⋮ Farkas and János Bolyai ⋮ On submanifolds with negative curvature in Euclidean space ⋮ Topological surfaces as gridded surfaces in geometrical spaces ⋮ Two-dimensional surfaces in 3-dimensional and 4-dimensional Euclidean spaces. Results and unsolved problems ⋮ Surfaces of negative curvature ⋮ \(C^ \infty\)-isometric imbeddings of the hyperbolic plane and of cylinders with hyperbolic metric in spherical spaces ⋮ Isometric Embedding of Riemannian Manifolds into Euclidean Spaces

Cites Work

• Eine isometrische und singularitätenfreie Einbettung des \(n\)- dimensionalen hyperbolischen Raumes im Hilbertschen Raum
• \(C^1\) isometric imbeddings

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