Compact CR-solvmanifolds as Kähler obstructions.
Résumé
We give a precise characterization for when a compact CR-solvmanifold is CR-embeddable in a complex Kähler manifold. Equivalently this gives a non-Kähler criterion for complex manifolds containing CR-solvmanifolds not satisfying these conditions. This paper is the natural continuation of Oeljeklaus and Richthofer [J Differ Geom 27(3):399-421, 1988] and Gilligan et al. [Can J Math 41(1):163-177, 1989].
Domaines
Variables complexes [math.CV]
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COMPACT_CR-SOLVMANIFOLDS_AS_KAHLER_OBSTRUCTIONS_Gilligan_Oeljeklaus.pdf (206.22 Ko)
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