Infra-solvmanifolds of $\Sol_1^4$-geometry

Kyung-Bai Lee, Scott Thuong

The purpose of this paper is to classify all compact manifolds modeled on the 4-dimensional solvable Lie group $So{l}_1^4$. The maximal compact subgroup of $Isom(So{l}_1^4)$ is $D_4=\m…