Connection preserving actions of lattices in \(SL_ n\mathbb{R}{}\)

DOI10.1007/BF02764799zbMath0786.57016OpenAlexW2068923114MaRDI QIDQ1802749

Renato Feres

Publication date: 29 June 1993

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

Full work available at URL: https://doi.org/10.1007/bf02764799

zbMATH Keywords

connection-preserving actions of lattice subgroups of \(\text{SL}_ n(\mathbb{R})\) on compact Riemannian manifoldslinear actions on the \(n\)- torus

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Discontinuous groups of transformations (57S30) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (6)

Computing \(p\)-summing norms with few vectors ⋮ Sur les actions affines des groupes discrets. (On affine actions of discrete groups.) ⋮ On Livšic's theorem, superrigidity, and Anosov actions of semisimple Lie groups ⋮ Projective and conformal closed manifolds with a higher-rank lattice action ⋮ The center foliation of an affine diffeomorphism ⋮ Affine actions of higher rank lattices

Cites Work

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• Ergodic theory of differentiable dynamical systems
• Rigidity for Anosov actions of higher rank lattices
• Local rigidity for certain groups of toral automorphisms
• Global rigidity results for lattice actions on tori and new examples of volume-preserving actions
• Cartan subgroups and lattices in semi-simple groups
• On connection-preserving actions of discrete linear groups
• Anosov Diffeomorphisms on Tori

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