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

Abstract

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.

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

References in corpus (5)

• Almost Hermitian Geometry on Six Dimensional Nilmanifolds
• Complex Curves in Almost-Complex Manifolds and Meromorphic Hulls
• Left invariant complex structures on U(2) and SU(2)xSU(2) revisited
• On the space of almost complex structures
• Left-invariant almost nearly Kähler structures on $SU(2)\times SU(2)$ in the tetrahedron visualization for $C{P}^3$