The isometry groups of simply connected 3-dimensional unimodular
video: comming soon.
For each simply connected 3-dimensional unimodular Lie group the
left invariant Riemannian metrics up to automorphism are classified
in [K. Y. Ha and J. B. Lee, Left invariant metrics and curvatures on
simply connected 3-dimensional Lie groups, Math. Nachr., 282 (2009),
868--898]. Using this classification, we determine on each such a
Lie group the full group of isometries which depends on left
invariant Riemannian metrics.