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- W2950530317 abstract "In this paper, we study the solvmanifolds constructed from any parabolic subalgebras of any semisimple Lie algebras. These solvmanifolds are naturally homogeneous submanifolds of symmetric spaces of noncompact type. We show that the Ricci curvatures of our solvmanifolds coincide with the restrictions of the Ricci curvatures of the ambient symmetric spaces. Consequently, all of our solvmanifolds are Einstein, which provide a large number of new examples of noncompact homogeneous Einstein manifolds. We also show that our solvmanifolds are minimal, but not totally geodesic submanifolds of symmetric spaces." @default.
- W2950530317 created "2019-06-27" @default.
- W2950530317 creator A5056761386 @default.
- W2950530317 date "2007-11-07" @default.
- W2950530317 modified "2023-09-23" @default.
- W2950530317 title "Parabolic subgroups of semisimple Lie groups and Einstein solvmanifolds" @default.
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