On existence of global attractors of foliations with transverse linear connections

DOI10.1016/j.difgeo.2020.101699zbMath1487.53039OpenAlexW3105992456WikidataQ115354685 ScholiaQ115354685MaRDI QIDQ1995657

N. I. Zhukova

Publication date: 24 February 2021

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2020.101699

zbMATH Keywords

global attractorfoliationattractorminimal setfoliation with transverse linear connection

Mathematics Subject Classification ID

Attractors (35B41) Foliations (differential geometric aspects) (53C12) Foliations in differential topology; geometric theory (57R30)

Cites Work

• Foliations: dynamics, geometry and topology. Lecture notes of some of the courses, Barcelona, Spain, May 2010
• Attractors and an analog of the Lichnérowicz conjecture for conformal foliations
• Riemannian foliations. With appendices by G. Cairns, Y. Carrière, E. Ghys, E. Salem, V. Sergiescu
• The action of conformal transformations on a Riemannian manifold
• Minimal sets of Cartan foliations
• The decomposition of a differentiable manifold and its applications
• Random conformal dynamical systems
• Ends of leaves of Lie foliations
• Global attractors of complete conformal foliations
• Leaves Without Holonomy
• MINIMAL AND STRANGE ATTRACTORS
• GROUPS OF CONFORMAL TRANSFORMATIONS OF RIEMANNIAN SPACES
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