Isometry Groups of Unimodular Simply Connected 3-Dimensional Lie Groups |
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| Authors: | JOONKOOK SHIN |
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| Affiliation: | (1) Department of Mathematics, Chungnam National University, Taejon, 305--764, Korea |
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| Abstract: | ![]()
We characterize the left-invariant Riemannian metrics on each of the six unimodular simply connected 3-dimensional Lie groups which give rise to 3-, 4-, or 6-dimensional isometry groups. It turns out that this classification is independent of curvature properties. |
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| Keywords: | isometry g roups 3-dimensional Lie groups left-invariant metrics Ricci curvatures. |
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