Complex, symplectic and Kaehler structures on four dimensional Lie groups

Details Complex, symplectic and Kaehler structures on four dimensional Lie groups Complex, symplectic and Kaehler structures on four dimensional Lie groups

2003-09-08

arxiv.org/abs/math/0309146v1

Rev. U.M.A., 45 (2), 55 - 68 (2004)

Mathematics

Differential Geometry

14 pages including many tables that contain the information of the article: complex, symplectic and Kaehler structures and the

Scientific paper

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.

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