Complex connections with trivial holonomy

ADRIÁN ANDRADA; MARÍA LAURA BARBERIS; ISABEL DOTTI

Lie groups: Structure, Actions and Representations (Progress in Mathematics 306)

Springer New York

Lugar: New York; Año: 2013; p. 25 - 39

Given  an almost complex manifold (M, J), we study complexconnections 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 quotiens by discrete subgroups, equipped with bi-invariant and abelian complex structures.