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Relatividad: un curso acelerado.

Joan Girbau — 1999

Gaceta de la Real Sociedad Matemática Española

On deformations of holomorphic foliations

Joan Girbau; Marcel Nicolau — 1989

Annales de l'institut Fourier

Given a non-singular holomorphic foliation $ℱ$ on a compact manifold $M$ we analyze the relationship between the versal spaces $K$ and $K^{tr}$ of deformations of $ℱ$ as a holomorphic foliation and as a transversely holomorphic foliation respectively. With this purpose, we prove the existence of a versal unfolding of $ℱ$ parametrized by an analytic space $K^{f}$ isomorphic to $π^{- 1} (0) \times Σ$ where $Σ$ is smooth and $π$ : $K \to K^{tr}$ is the forgetful map. The map $π$ is shown to be an epimorphism in two situations: (i) if $H^{2} (M, Θ_{ℱ}^{f}) = 0$ , where $Θ_{ℱ}^{f}$ is the sheaf of...

Pseudo-differential operators on V-manifolds and foliations (II).

Joan Girbau; Marcel Nicolau — 1980

Collectanea Mathematica

This paper is a continuation of Part I of the same title which has appeared at the last issue of this journal.

Pseudo-differential operators on V-manifolds and foliations (I).

Joan Girbau; Marcel Nicolau — 1979