Almost complex structures, transverse complex structures, and transverse Dolbeault cohomology
Résumé
We define a transverse Dolbeault cohomology associated to any almost complex structure j on a smooth manifold M . This we do by extending the notion of transverse complex structure and by introducing a natural j-stable involutive limit distribution with such a transverse complex structure. We relate this transverse Dolbeault cohomology to the generalized Dolbeault cohomology of (M, j) introduced by Cirici and Wilson in [3], showing that the (p, 0) cohomology spaces coincide. This study of transversality leads us to suggest a notion of minimally non-integrable almost complex structure.
Domaines
Mathématiques [math]Origine | Fichiers produits par l'(les) auteur(s) |
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