Displaying similar documents to “Lagrangian holonomy ; characteristic elements of a lagrangian foliation”

Basics of Lagrangian foliations.

Izu Vaisman (1989)

Publicacions Matemàtiques

Similarity:

The paper is an exposition of basic known local and global results on Lagrangian foliations such as the Theorem of Darboux-Lie, Weinstein, Arnold-Liouville, a global characterization of cotangent bundles, higher order Maslov classes, etc.

Leaves of foliations with a transverse geometric structure of finite type.

Robert A. Wolak (1989)

Publicacions Matemàtiques

Similarity:

In this short note we find some conditions which ensure that a G foliation of finite type with all leaves compact is a Riemannian foliation of equivalently the space of leaves of such a foliation is a Satake manifold. A particular attention is paid to transversaly affine foliations. We present several conditions which ensure completeness of such foliations.

Transversely affine foliations of some surface bundles over S 1 of pseudo-Anosov type

Hiromichi Nakayama (1991)

Annales de l'institut Fourier

Similarity:

We consider transversely affine foliations without compact leaves of higher genus surface bundles over the circle of pseudo-Anosov type such that the Euler classes of the tangent bundles of the foliations coincide with that of the bundle foliation. We classify such foliations of those surface bundles whose monodromies satisfy a certain condition.

Translation foliations of codimension one on compact affine manifolds

Francisco Turiel (1997)

Banach Center Publications

Similarity:

Consider two foliations ℱ 1 and ℱ 2 , of dimension one and codimension one respectively, on a compact connected affine manifold ( M , ∇ ) . Suppose that ∇ T ℱ 1 T ℱ 2 ⊂ T ℱ 2 ; ∇ T ℱ 2 T ℱ 1 ⊂ T ℱ 1 and T M = T ℱ 1 ⊕ T ℱ 2 . In this paper we show that either ℱ 2 is given by a fibration over S 1 , and then ℱ 1 has a great degree of freedom, or the trace of ℱ 1 is given by a few number of types of curves which are completely described. Moreover we prove that ℱ 2 has a transverse affine structure.

Foliations of M 3 defined by ℝ 2 -actions

Jose Luis Arraut, Marcos Craizer (1995)

Annales de l'institut Fourier

Similarity:

In this paper we give a geometric characterization of the 2-dimensional foliations on compact orientable 3-manifolds defined by a locally free smooth action of ℝ 2 .