Kähler-Einstein metrics and the generalized Futaki invariant
✍ Scribed by Weiyue Ding; Gang Tian
- Publisher
- Springer-Verlag
- Year
- 1992
- Tongue
- English
- Weight
- 994 KB
- Volume
- 110
- Category
- Article
- ISSN
- 0020-9910
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📜 SIMILAR VOLUMES
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
For a homogeneous space G/P , where P is a parabolic subgroup of a complex semisimple group G, an explicit Kähler-Einstein metric on it is constructed. The Einstein constant for the metric is 1. Therefore, the intersection number of the first Chern class of the holomorphic tangent bundle of G/P coin