Abstract:
In this paper, we classify the invariant complex structures on four-dimensional, solvable, simply-connected real Lie groups with commutator of dimension three. The resulting complex surfaces corresponding to these structures are also determined. The classification is based on the determination of certain complex subalgebras of the complexifications of the corresponding real Lie algebras.
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Received: 17 December 1999 / Revised version: 1 May 2000
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Ovando, G. Invariant complex structures on solvable¶real Lie groups. manuscripta math. 103, 19–30 (2000). https://doi.org/10.1007/s002290070026
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DOI: https://doi.org/10.1007/s002290070026