Jordan decomposition and dynamics on flag manifolds
✍ Scribed by Ferraiol, Thiago; Patrão, Mauro; Seco, Lucas
- Book ID
- 120245590
- Publisher
- American Institute of Mathematical Sciences
- Year
- 2010
- Tongue
- English
- Weight
- 306 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1078-0947
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📜 SIMILAR VOLUMES
The k-number of a complex flag manifold and the index number of a real flag manifold is known to be equal to the sum of the Z 2 -Betti numbers of the manifold. We give an interpretation and alternative proofs of these results in the framework of symplectic topology and Morse theory.
The aim of this paper is to prove the following result. PROPOSITION. Let G be a complex reducti¨e group, P and Q parabolic subgroups of G with P ; Q, and K a maximal compact subgroups of G. The K-in¨ariant Kahler᎐Einstein metric of GrP restricted to any fiber of the fibration GrP ª GrQ is again Kah