On quasi Einstein manifolds
✍ Scribed by U. C. De; Gopal Chandra Ghosh
- Book ID
- 111597824
- Publisher
- Springer Netherlands
- Year
- 2004
- Tongue
- English
- Weight
- 121 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0031-5303
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📜 SIMILAR VOLUMES
In this paper we prove that any complete locally conformally flat quasi-Einstein manifold of dimension n f 3 is locally a warped product with ðn À 1Þ-dimensional fibers of constant curvature. This result includes also the case of locally conformally flat gradient Ricci solitons.
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