The geometry of the Lie group 
semidirect
product with 
,
where 
acts on 
by 
.
Sol Geometry
See also
Thurston's Geometrization ConjectureExplore with Wolfram|Alpha
Cite this as:
Weisstein, Eric W. "Sol Geometry." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/SolGeometry.html