Rigidity of locally homogeneous metrics of negative curvature on the leaves of a foliation

DOI10.1007/BF02764968zbMath0697.53032MaRDI QIDQ911062

Robert J. Zimmer, Pierre Pansu

Publication date: 1989

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

hyperbolic space\(C^ 1\)-equivalent foliationsholonomy invariant transverse measureRiemannian metrics along the leaves

Mathematics Subject Classification ID

Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Related Items (3)

Integrable measure equivalence and rigidity of hyperbolic lattices ⋮ Minimal entropy rigidity for foliations of compact spaces ⋮ A nonlinear extension of the Borel density theorem: Applications to invariance of geometric structures and to smooth orbit equivalence

Cites Work

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• On the Mostow rigidity theorem and measurable foliations by hyperbolic space
• Quasi-conformal mappings in n-space and the rigidity of hyperbolic space forms
• Visibility manifolds
• Strong Rigidity of Locally Symmetric Spaces. (AM-78)

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