Feuilletages holomorphes admettant une mesure transverse invariante

2014/09/11 by Frederic Touzet, Touzet, Frederic
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1409.3445

in French

arxiv created 2014/09/11 · arxiv updated 2014/09/12

Abstract

Let \calF be a regular codimension 1 holomorphic foliation on a compact K" ahler manifold. One assumes in addition that \calF possesses a transverse invariant positive current. The aim of this paper is to establish the following alternative: - There exists an invariant hypersurface. - The foliation admits a transverse invariant hermitian metric with constant curvature

Related

• Transversely projective holomorphic foliations with singularities
• On transversely holomorphic foliations with homogeneous transverse structure
• Transversely affine holomorphic foliations of arbitrary codimension - I
• Uniformisation de l'espace des feuilles de certains feuilletages de codimension 1
• On holomorphic foliations admitting invariant CR manifolds