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Hyper-Kähler Metrics Conformal to Left Invariant Metrics on Four-Dimensional Lie Groups

✍ Scribed by María Laura Barberis


Book ID
110420127
Publisher
Springer Netherlands
Year
2003
Tongue
English
Weight
86 KB
Volume
6
Category
Article
ISSN
1385-0172

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Left invariant metrics and curvatures on
✍ Ku Yong Ha; Jong Bum Lee 📂 Article 📅 2009 🏛 John Wiley and Sons 🌐 English ⚖ 310 KB 👁 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