Jong Bum Lee

The isometry groups of simply connected 3-dimensional unimodular Lie groups

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abstract:
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.