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RESEARCH ＞
TALK ＞
講演アブストラクト
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Parabolic subgroups of semisimple Lie groups and submanifold geometry
DFG-JSPS Seminar
「Lie Groups: Geometry and Analysis」
(Paderborn, ドイツ),
2011/09/09.
The solvable parts of parabolic subgroups of semisimple Lie groups
provide a rich sources of geometry of noncompact Riemannian homogeneous manifolds,
both intrinsically and extrinsically.
In this talk, I will mention that they provide many examples of
Einstein solvmanifolds,
homogeneous hypersurfaces in symmetric spaces of noncompact type,
and polar actions on symmetric spaces of noncompact type.