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Remarks on geometric structures on compact complex spaces. (English) Zbl 0756.32017
C. T. C. Wall [Topology 25, 119-153 (1986; Zbl 0602.57014)] made a study of locally homogeneous geometric structure on compact complex surfaces and, more generally, on closed smooth 4-manifolds. The author of the reviewed paper corrects an error in the treatment of hyperbolic manifolds in the paper by Wall, completes some proofs and includes his additional remarks.

32J15 Compact complex surfaces
32Q45 Hyperbolic and Kobayashi hyperbolic manifolds
57N13 Topology of the Euclidean \(4\)-space, \(4\)-manifolds (MSC2010)
53C07 Special connections and metrics on vector bundles (Hermite-Einstein, Yang-Mills)
53C30 Differential geometry of homogeneous manifolds
53C35 Differential geometry of symmetric spaces
32Q20 Kähler-Einstein manifolds
32M10 Homogeneous complex manifolds
32M15 Hermitian symmetric spaces, bounded symmetric domains, Jordan algebras (complex-analytic aspects)
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