SU\G(𝔸)/K·U

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Complex and Kähler structures on Compact Solvmanifolds

Complex and Kähler structures on Compact Solvmanifolds

We discuss our recent results on the existence and classification problem of complex and Kähler structures on compact solvmanifolds.In particular, we determine in this paper all the complex surfaces which are diffeomorphic to compact solvmanifolds (and compact homogeneous manifolds in general).