Tamaru's WEB PAGERESEARCHTALK

講演アブストラクト

講演情報

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.