From almost (para)-complex structures to affine structures on Lie groups

Giovanni Calvaruso, Gabriela P. Ovando

Let $G=H⋉K$ denote a semidirect product Lie group with Lie algebra $\mathfrak{g}=\mathfrak{h}\oplus \mathfrak{k}$, where $\mathfrak{k}$ is an ideal and $\mathfrak{h}$ is a subal…