Invariant semi-2-metrics on abelian groups

Left invariant metrics and curvatures on

Left invariant metrics and curvatures on simply connected three-dimensional Lie groups

✍ 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