Codimension one totally geodesic foliations of \(H^ n\)

DOI10.2748/tmj/1178228854zbMath0542.53021OpenAlexW1965854369MaRDI QIDQ795346

Henrique Browne

Publication date: 1984

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

Full work available at URL: https://doi.org/10.2748/tmj/1178228854

zbMATH Keywords

isometric immersionshyperbolic spaceHadamard manifoldstotally geodesic foliations

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (8)

Hadamard foliations of \(\mathbb H^n\) ⋮ Umbilical routes along geodesics and hypercycles in the hyperbolic space ⋮ Global smooth geodesic foliations of the hyperbolic space ⋮ Conformal geometry of foliations ⋮ Geometry--5 ⋮ Foliations, submanifolds, and mixed curvature ⋮ Codimension one totally geodesic foliations of \(H^ n\) ⋮ A general description of totally geodesic foliations

Cites Work

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• Codimension one totally geodesic foliations of \(H^ n\)
• On the completeness of nullity foliations
• On isometric immersions between hyperbolic spaces
• Visibility manifolds
• Isometric immersions of the hyperbolic plane into the hyperbolic space

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