Attractors of foliations with transversal parabolic geometry of rank one

DOI10.1134/S0001434613050313zbMath1279.37027OpenAlexW1977292847MaRDI QIDQ358208

N. I. Zhukova

Publication date: 16 August 2013

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0001434613050313

zbMATH Keywords

Lie groupfoliationattractorhyperbolic spaceparabolic subgroupCartan geometryessential holonomy grouptransversal parabolic geometry of rank one

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations (differential geometric aspects) (53C12)

Related Items

Chaos in Cartan foliations ⋮ The structure of Lorentzian foliations of codimension two

Cites Work

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• Essential parabolic structures and their infinitesimal automorphisms
• Attractors and an analog of the Lichnérowicz conjecture for conformal foliations
• Global attractors of complete conformal foliations
• Sur le groupe d'automorphismes des géométries paraboliques de rang 1
• Conformal foliations