Curvature of Leaves in Amenable Foliations

DOI10.2307/2374302zbMath0527.57015OpenAlexW2331675682MaRDI QIDQ3042020

Robert J. Zimmer

Publication date: 1983

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

Full work available at URL: https://doi.org/10.2307/2374302

zbMATH Keywords

curvature and fundamental groupcurvature of leaves in amenable foliationsRiemannian measurable foliation with transversally invariant measure

Mathematics Subject Classification ID

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

Related Items (11)

Amenable groups and stabilizers of measures on the boundary of a Hadamard manifold ⋮ A foliated metric rigidity theorem for higher rank irreducible symmetric spaces ⋮ Problems on rigidity of group actions and cocycles ⋮ Foliations with leaves of nonpositive curvature ⋮ Brownian motion on foliations: Entropy, invariant measures, mixing ⋮ CAT(-1)-spaces, divergence groups and their commensurators ⋮ Tits topology and fundamental groups of compact Riemannian manifolds ⋮ Trees and amenable equivalence relations ⋮ Actions of amenable equivalence relations on CAT(0) fields ⋮ Superharmonic Functions on Foliations ⋮ Ergodic theory, semisimple Lie groups, and foliations by manifolds of negative curvature

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