English

Complex connections with trivial holonomy

Differential Geometry 2011-02-09 v1

Abstract

Given an almost complex manifold (M, J), we study complex connections with trivial holonomy and such that the corresponding torsion is either of type (2,0) or of type (1,1) with respect to J. Such connections arise naturally when considering Lie groups, and quotients by discrete subgroups, equipped with bi-invariant and abelian complex structures.

Keywords

Cite

@article{arxiv.1102.1698,
  title  = {Complex connections with trivial holonomy},
  author = {A. Andrada and M. L. Barberis and I. G. Dotti},
  journal= {arXiv preprint arXiv:1102.1698},
  year   = {2011}
}

Comments

13 pages

R2 v1 2026-06-21T17:23:30.110Z