Compact CR-solvmanifolds as Kähler obstructions

Abstract

We give a precise characterization when a compact homogeneous 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 [OR] and [GOR]. 

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