An extension of Ratner's rigidity theorem to n-dimensional hyperbolic space

DOI10.1017/S0143385700003813zbMath0623.57030OpenAlexW2138490297MaRDI QIDQ3761310

Livio Flaminio

Publication date: 1987

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0143385700003813

zbMATH Keywords

bi-measurable isomorphism of the expanding horospherical foliationdiscrete co-compact subgroups of isometries of the hyperbolic n- dimensional spacerigidity of horocycle flows

Mathematics Subject Classification ID

Differential geometry of homogeneous manifolds (53C30) Discrete subgroups of Lie groups (22E40) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Discontinuous groups of transformations (57S30)

Related Items (1)

Geometrically finite groups, Patterson-Sullivan measures and Ratner's rigidity theorem

Cites Work

• Rigidity of horocycle flows
• Ergodicity of Flows on Homogeneous Spaces
• Rigidity of some translations on homogeneous spaces

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