Curvature and Lagrangian submanifolds of the homogeneous nearly Kähler $\mathbb{C}{P}^3$

Michaël Liefsoens, Joeri Van der Veken

A tractable definition of the homogeneous nearly Kähler structure on $\mathbb{C}{P}^3$ is given via the Hopf fibration, facilitating explicit computations and analysis. The descripti…