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  • Notes for the course Foliation theory - Universiteit Utrecht
    Proof of Proposition 9: We start with a foliation atlas (Ui, φi) for M By using paracom-pactness and replacing the atlas with a refinement if necessary, we may assume that the atlas (Ui) is locally finite
  • Algebraic Geometry: Foliations - Universität des Saarlandes
    The main result is Theorem 4 21, which gives a criterion for when a foliation (which is by definition an analytic object) actually comes from an algebraic construction
  • NCG-Leiden
    foliations A foliation on a manifold is, roughly speaking, a decomposition of it into immersed submanifolds (called the leaves of the foliation), such that the leaves fit toget
  • FIVE LECTURES ON FOLIATION DYNAMICS
    The goal of the lectures was to present aspects of the theory of foliation dynamics which have particular importance for the classi cation of foliations of compact manifolds
  • THE H-PRINCIPLE, LECTURE 12: FOLIATIONS AND HAEFLIGER
    lets us relate constructions in geometry to algebra For instance, Frobenius' theorem tells us that giving a foliation (a geometric object) corresponds to a Lie subalgebra of the tangent sheaf Similarly, t
  • GEOMETRY, DYNAMICS AND TOPOLOGY OF FOLIATIONS
    The Geometric Theory of Foliations is one of the fields in Mathematics that gathers several distinct domains: Topology, Dynamical Systems, Diferential Topology and Geometry, among others
  • Foliations and the Geometry of 3–Manifolds
    The purpose of this book is to give an exposition of the so-called “pseudo- Anosov”theory offoliations of 3-manifolds This theorygeneralizesThurston’s theory of surface automorphisms, and reveals an intimate connection between dynamics, geometry and topology in 3 dimensions
  • Foliations: Dynamics, Geometry And Topology [PDF] [1pl0kol4ceto]
    It contains expository lectures showing the diversity of ideas and methods converging in the study of foliations The lectures by Aziz El Kacimi Alaoui provide an introduction to Foliation Theory with emphasis on examples and transverse structures
  • Lecture Notes on Foliation Theory - DocsLib
    The realization problem is to know which pairs of Lie algebras (G, H), with H subalgebra of G, can arise as transverse and structural Lie algebras, respectively, of a Lie foliation F on a compact manifold M
  • Foliations - Texas Christian University
    foliation A singular Riemannian foliation (M; g; F) is called a polar foliation (or a singular Riemannian foliation with sections) if, for each regular point p (point of the principal stratum), there is an immersed submanifold p through p, called a section, whose dimension is equal to the codimension of the foliation and that meets all the





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