Complex connections with trivial holonomy

Details Complex connections with trivial holonomy Complex connections with trivial holonomy

2011-02-08

arxiv.org/abs/1102.1698v1

Mathematics

Differential Geometry

13 pages

Scientific paper

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.

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