Central extensions of simple Lie groups and rigidity of some Abelian partially hyperbolic algebraic actions

DOI10.3934/jmd.2007.1.665zbMath1139.37017OpenAlexW2323585122MaRDI QIDQ2474582

Danijela Damjanović

Publication date: 6 March 2008

Published in: Journal of Modern Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jmd.2007.1.665

zbMATH Keywords

rigiditycocyclespartial hyperbolicityabelian actions

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Partially hyperbolic systems and dominated splittings (37D30) Algebraic ergodic theory, cocycles, orbit equivalence, ergodic equivalence relations (37A20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40)

Related Items (6)

Local rigidity of higher rank homogeneous abelian actions: a complete solution via the geometric method ⋮ Mixing properties of commuting nilmanifold automorphisms ⋮ Local rigidity of partially hyperbolic actions I. KAM method and \({\mathbb Z^k}\) actions on the torus ⋮ On the rigidity of Weyl chamber flows and Schur multipliers as topological groups ⋮ Cocycle rigidity of partially hyperbolic abelian actions with almost rank-one factors ⋮ \(\infty \)-jets of diffeomorphisms preserving orbits of vector fields

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