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math.DG2011
Abelian Hermitian geometry
Adrian Andrada, Maria Laura Barberis, Isabel Dotti
We study the structure of Lie groups admitting left invariant abelian complex structures in terms of commutative associative algebras. If, in addition, the Lie group is equipped wi…
math.DG2011
Complex connections with trivial holonomy
A. Andrada, M. L. Barberis, I. G. Dotti
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 re…