Geometrical formality of solvmanifolds and solvable Lie type geometries

Hisashi Kasuya

We show that for a Lie group $G={\mathbb{R}}^n{⋉}_{\varphi }{\mathbb{R}}^m$ with a semisimple action $\varphi$ which has a cocompact discrete subgroup $\Gamma$, the solvmanifold $G/\Gamma$ admits a canonical invarian…