English

A Generalization of Inoue Surfaces $S^+$

Differential Geometry 2024-10-03 v3

Abstract

Using Lie groups with left-invariant complex structure, we construct new examples of compact complex manifolds with flat affine structure in arbitrarly high dimensions. In the 2-dimensional case, we retrieve the Inoue surfaces S+S^+.

Keywords

Cite

@article{arxiv.2406.05445,
  title  = {A Generalization of Inoue Surfaces $S^+$},
  author = {David Petcu},
  journal= {arXiv preprint arXiv:2406.05445},
  year   = {2024}
}

Comments

Added some more details. To appear in Annali di Matematica Pura ed Applicata

R2 v1 2026-06-28T16:58:11.340Z