Silva, Alessandro Kählerian homogeneous spaces of complex resolvable Lie groups. (English) Zbl 0539.32014 Boll. Unione Mat. Ital., VI. Ser., A 2, 203-209 (1983). This paper shows that a compact complex connected manifold, homogeneous under the action of a complex solvable group, is Kähler iff it has a finite unramified covering which is a torus. Reviewer: F.Campana Cited in 1 ReviewCited in 1 Document MSC: 32M10 Homogeneous complex manifolds 53C55 Global differential geometry of Hermitian and Kählerian manifolds 22E25 Nilpotent and solvable Lie groups 32J15 Compact complex surfaces PDFBibTeX XMLCite \textit{A. Silva}, Boll. Unione Mat. Ital., VI. Ser., A 2, 203--209 (1983; Zbl 0539.32014)