Minimal sets of Cartan foliations

DOI10.1134/S0081543807010075zbMath1246.37046OpenAlexW1971354599MaRDI QIDQ2377551

N. I. Zhukova

Publication date: 19 January 2009

Published in: Proceedings of the Steklov Institute of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s0081543807010075

zbMATH Keywords

aureole foliationCartan bundlesclasses of Cartan foliationsstructure of foliationstransversally similar foliationsunion of leaves of foliations

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Foliations in differential topology; geometric theory (57R30) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (13)

Structure of graphs of suspended foliations ⋮ Typical properties of leaves of Cartan foliations with Ehresmann connection ⋮ The groups of basic automorphisms of complete Cartan foliations ⋮ Chaotic behaviour of countable products of homeomorphism groups ⋮ Dynamics of conformal foliations ⋮ Chaotic foliations with Ehresmann connection ⋮ Attractors and an analog of the Lichnérowicz conjecture for conformal foliations ⋮ The automorphism groups of foliations with transverse linear connection ⋮ The structure of foliations with integrable Ehresmann connection ⋮ Chaos in Cartan foliations ⋮ On existence of global attractors of foliations with transverse linear connections ⋮ The structure of Lorentzian foliations of codimension two ⋮ Transverse equivalence of complete conformal foliations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Foliations and laminations on hyperbolic surfaces
• Cartan submersions and Cartan foliations
• Transversely homogeneous foliations
• The action of conformal transformations on a Riemannian manifold
• Stability criterion of leaves of Riemannian foliations with singularities
• Propriétés cohomologiques et propriétés topologiques des feuilletages à connexion transverse projetable
• Foliated manifolds with bundle-like metrics
• Some properties of foliations
• Leaves Without Holonomy
• Flows without minimal set
• An example of a flow on a non-compact surface without minimal set
• Aspects of the Qualitative Theory of Suspended Foliations
• Schottky-type groups and minimal sets of horocycle and geodesic flows
• Topological classification of flows on closed two-dimensional manifolds
• Transversally Parallelizable Foliations of Codimension Two
• Foliations and Pseudogroups

This page was built for publication: Minimal sets of Cartan foliations