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Proof of Proposition 9: We start with a foliation atlas (Ui, φi) for M. By using paracom-pactness and replacing the atlas with a …

foliations A foliation on a manifold is, roughly speaking, a decomposition of it into immersed submanifolds (called the leaves of the …

It contains expository lectures showing the diversity of ideas and methods converging in the study of foliations. The lectures by Aziz …

The goal of the lectures was to present aspects of the theory of foliation dynamics which have particular importance for the classi …

foliation. The author gave a formula for the residue of a characteristic polynomial of this type of curvature at a connected component …

Foliations and Foliated Vector Spaces. FOLIATIONS AND FOLIATED VECTOR BUNDLES (First installment, § '1-4) John Milnor The …

DANNY CALEGARI bstract. These are notes on the theory of taut foliations on 3-manifolds, which are being transformed into …

The main result is Theorem 4.21, which gives a criterion for when a foliation (which is by definition an analytic object) actually comes …

the foliation of R2 given by the lines of irrational slope a. On R2 this is a simple foliation. The induced one on S1 × S1 is not a simple …

lets us relate constructions in geometry to algebra. For instance, Frobenius' theorem tells us that giving a foliation (a geometric …