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Almost Hermitian Geometry on Six Dimensional Nilmanifolds

E. Abbena·S. Garbiero·S. Salamon
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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.

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E. Abbena, S. Garbiero, S. Salamon. 2000-07-11. Almost Hermitian Geometry on Six Dimensional Nilmanifolds. https://arxiv.org/abs/math/0007066

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