Complex, symplectic and Kaehler structures on four dimensional Lie groups
Differential Geometry
2007-05-23 v1
Abstract
In this work we deal with left invariant complex and symplectic structures on simply connected four dimensional solvable real Lie groups. We search the general form of such structures, when they exist and we make use of this information to determine all left invariant Kaehler structures. Finally, as an appendix we compute explicitly the real cohomology of the corresponding Lie algebras.
Cite
@article{arxiv.math/0309146,
title = {Complex, symplectic and Kaehler structures on four dimensional Lie groups},
author = {Gabriela Ovando},
journal= {arXiv preprint arXiv:math/0309146},
year = {2007}
}
Comments
14 pages including many tables that contain the information of the article: complex, symplectic and Kaehler structures and the real cohomology of the Lie algebras