English

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

Complex Variables 2016-01-15 v2 Differential Geometry

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.

Keywords

Cite

@article{arxiv.0804.0738,
  title  = {Complex and Kaehler structures on compact homogeneous manifolds - their existence, classification and moduli problem},
  author = {Keizo Hasegawa},
  journal= {arXiv preprint arXiv:0804.0738},
  year   = {2016}
}

Comments

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

R2 v1 2026-06-21T10:27:46.038Z