Tamaru's WEB PAGE $B!d(B
We introduce the space of left-invariant metrics on a Lie group
up to isometry and scaling, the moduli space.
This moduli space derives a Milnor-type theorem,
a generalization of the Milnor frame for three-dimensional unimodular Lie groups.
Our Milnor-type theorem is useful to examine
the existence and the nonexistence of
a distinguished left-invariant metric, such as Einstein and Ricci soliton.
In this talk, we explain the above mentioned framework of our study
by describing some explicit examples.
We will also mention a pseudo-Riemannian version.