The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups

Details The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups The space of leftinvariant orthogonal almost complex structures on 6-dimensional Lie groups

2012-01-14

arxiv.org/abs/1201.2998v1

Vestnik of KemSU, 3/1, 2011 (by Russian)

Mathematics

Differential Geometry

Scientific paper

The space $\mathcal{Z}$ of leftinvariant orthogonal almost complex structures, keeping the orientation, on 6-dimensional Lie groups is researched. To get explicit view of this space elements the isomorphism of $\mathcal{Z}$ and $\mathbb{C}P^3$ is used. The explicit formula for arbitrary leftinvariant orthogonal almost complex structure on 6-dimensional Lie group as composition of rotations is found.

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