We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups SL2(R)ΔN, SL2(C)R, and SL2(R)⊗SL2(R) on the space R3, where… Click to show full abstract
We find the groups of motions of eight three-dimensional maximal mobility geometries. These groups are actions of just three Lie groups SL2(R)ΔN, SL2(C)R, and SL2(R)⊗SL2(R) on the space R3, where N is a normal abelian subgroup. We also find explicit expressions for these actions.
               
Click one of the above tabs to view related content.