Complex and Kaehler structures on compact homogeneous manifolds - their existence, classification and moduli problem

Details Complex and Kaehler structures on compact homogeneous manifolds - their existence, classification and moduli problem Complex and Kaehler structures on compact homogeneous manifolds - their existence, classification and moduli problem

2008-04-04

arxiv.org/abs/0804.0738v2

Mathematics

Complex Variables

revised version; corrections of typos, addition of remarks and references

Scientific paper

The existence of some complex geometrical structures on a compact manifold such as complex structures, Kaehler (pseudo-Kaehler) structures often impose certain restrictions on its underling topological or differentiable manifold. In this article we survey recent developments in the study of the existence, classification and moduli problems of such structures on compact homogeneous manifolds.

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