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

✍ Scribed by Ku Yong Ha; Jong Bum Lee


Book ID
113637292
Publisher
Elsevier Science
Year
2012
Tongue
English
Weight
282 KB
Volume
62
Category
Article
ISSN
0393-0440

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Left invariant metrics and curvatures on
✍ Ku Yong Ha; Jong Bum Lee πŸ“‚ Article πŸ“… 2009 πŸ› John Wiley and Sons 🌐 English βš– 310 KB πŸ‘ 1 views

## Abstract For each simply connected three‐dimensional Lie group we determine the automorphism group, classify the left invariant Riemannian metrics up to automorphism, and study the extent to which curvature can be altered by a change of metric. Thereby we obtain the principal Ricci curvatures, t