講演アブストラクト

講演情報

• 題目: Left-invariant metrics on Lie groups and submanifold geometry
• 名称: The 8th Kagoshima Algebra-Analysis-Geometry Seminar
• 会場: 鹿児島大学
• 日付: 2013/02/20.

アブストラクト

Our theme is the geometry of left-invariant Riemannian metrics on Lie groups, which provide many interesting examples of homogeneous Einstein and Ricci soliton manifolds. In this talk, I will explain our approach from submanifold geometry. In particular, for three-dimensional solvable Lie groups, the existence and the nonexistence of left-invariant Ricci solitons have a nice correspondence with geometry of cohomogeneity one actions on some noncompact symmetric space. I will also mention some higher-dimensional examples and 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.