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Classification of compact homogeneous manifolds with pseudo-Kählerian structures. (English) Zbl 1177.53028

The author gives a complete classification of compact complex homogeneous manifolds with pseudo-Kählerian structures.

MSC:

53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
57S25 Groups acting on specific manifolds
53C30 Differential geometry of homogeneous manifolds
22E99 Lie groups
15A75 Exterior algebra, Grassmann algebras
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