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

Abstract

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.

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

References in corpus (2)

• Deformation of 2-step Nilmanifolds with Abelian Complex Structures
• Small deformations and non-left-invariant complex structures on a compact solvmanifold

Cited by in corpus (1)

• Holomorphic Lagrangian fibrations on hypercomplex manifolds