English

Complex and Kaehler structures on compact solvmanifolds

Complex Variables 2008-04-30 v2 Differential Geometry

Abstract

We discuss our recent results on the existence and classification problem of complex and Kaehler structures on compact solvmanifolds. In particular, we determine in this paper all the complex surfaces which are diffeomorphic to compact solvmanifolds (and compact homogeneous manifolds in general).

Keywords

Cite

@article{arxiv.0804.4223,
  title  = {Complex and Kaehler structures on compact solvmanifolds},
  author = {Keizo Hasegawa},
  journal= {arXiv preprint arXiv:0804.4223},
  year   = {2008}
}

Comments

updated with some corrections

R2 v1 2026-06-21T10:34:51.217Z