Displaying similar documents to “A rigidity phenomenon for germs of actions of R 2 ”

Foliations of M 3 defined by ℝ 2 -actions

Jose Luis Arraut, Marcos Craizer (1995)

Annales de l'institut Fourier

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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 .

The polar curve of a foliation on ℙ 2

Rogério S. Mol (2010)

Annales de la faculté des sciences de Toulouse Mathématiques

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We study some properties of the polar curve P l ℱ associated to a singular holomorphic foliation ℱ on the complex projective plane ℙ 2 . We prove that, for a generic center l ∈ ℙ 2 , the curve P l ℱ is irreducible and its singular points are exactly the singular points of ℱ with vanishing linear part. We also obtain upper bounds for the algebraic multiplicities of the singularities of ℱ and for its number of radial singularities.

Lie algebras of vector fields and codimension one foliations.

Tomasz Rybicki (1990)

Publicacions Matemàtiques

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The main result is a Pursell-Shanks type theorem for codimension one foliations. This theorem can be viewed as a partial solution of a hypothetical general version of the theorem of Pursell-Shanks. Several propositions and lemmas on foliations are contained in the proof.

Unfoldings of holomorphic foliations.

Xavier Gómez-Mont (1989)

Publicacions Matemàtiques

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The objective of this paper is to give a criterium for an unfolding of a holomorphic foliation with singularities to be holomorphically trivial.