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

Abstract

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.

arXiv comment12 pages

Cited by in corpus (1)

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