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A note on projective Levi flats and minimal sets of algebraic foliations

1999; Association of the Annals of the Fourier Institute; Volume: 49; Issue: 4 Linguagem: Inglês

10.5802/aif.1721

1777-5310

Alcides Lins Neto,

Advanced Differential Equations and Dynamical Systems

In this paper we prove that holomorphic codimension one singular foliations on ℂℙ n ,n≥3 have no non trivial minimal sets. We prove also that for n≥3, there is no real analytic Levi flat hypersurface in ℂℙ n .