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Homogeneous CR-solvmanifolds as Kahler obstructions

2009/09/30 by Bruce Gilligan, Gilligan, Bruce, Karl Oeljeklaus +1
Mathematics · #32Q15 #32V30 #Advanced Algebra and Geometry #Complex Variables (math.CV) #FOS: Mathematics #Geometry and complex manifolds #Holomorphic and Operator Theory #math.CV #msc:32Q15 #msc:32V30

paper · pdf · doi:10.48550/arxiv.0909.5671

arxiv created 2009/09/30 · openalex publication_date 2009/09/30 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give a precise characterization when a compact homogeneous CR-solvmanifold is CR-embeddable in a Kahler manifold. Equivalently this gives a non-Kahler 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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