講演アブストラクト

We are interested in geometry of noncompact homogeneous spaces, whose properties are sometimes in contrast to compact case. In our recent studies, we found that the solvable parts of parabolic subgroups of semisimple Lie groups provide many remarkable examples, both intrinsically and extrinsically. In this talk, I will talk that these solvable parts give examples of, in particular, polar actions on symmetric spaces of noncompact type, homogeneous hypersurfaces in symmetric spaces of noncompact type, and Einstein solvmanifolds.