Left-invariant almost nearly Kähler structures on $SU(2)\times SU(2)$ in the tetrahedron visualization for $CP^3$

Details Left-invariant almost nearly Kähler structures on $SU(2)\times SU(2)$ in the tetrahedron visualization for $CP^3$ Left-invariant almost nearly Kähler structures on $SU(2)\times SU(2)$ in the tetrahedron visualization for $CP^3$

2006-08-29

arxiv.org/abs/math/0608704v2

Mathematics

Differential Geometry

12 pages

Scientific paper

The set of maximal non-integrable structures $(SU(2)\times SU(2),B,I)$, where
$B$ is Killing-Cartan metric is described as subset of $\mathbb{CP}^3$. The
visualization of complex projective space $\mathbb{CP}^3$ as tetrahedron which
edges and faces are $\mathbb{CP}^1$ and $\mathbb{CP}^2$ is used.

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