講演アブストラクト

講演情報

• 題目: On the moduli space of left-invariant metrics on a Lie group
• 名称: Submanifold Theory in Symmetric Spaces and Lie Theory in Finite and Infinite Dimensions
• 会場: 大阪市立大学
• 日付: 2013/02/03

アブストラクト

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.

参考資料

講演で使用したスライドが 研究集会の webpage にあります. ファイルへの直接リンクは こちら.