Almost Hermitian Geometry on Six Dimensional Nilmanifolds
arXiv:math/0007066
Abstract
The fundamental 2-form of an invariant almost Hermitian structure on a 6-dimensional Lie group is described in terms of an action by SO(4)xU(1) on complex projective 3-space. This leads to a combinatorial description of the classes of almost Hermitian structures on the Iwasawa and other nilmanifolds.
22 pages, 2 figures