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Invariant Kähler—Einstein metrics on compact homogeneous spaces

✍ Scribed by D. V. Alekseevskii; A. M. Perelomov


Publisher
Springer US
Year
1986
Tongue
English
Weight
999 KB
Volume
20
Category
Article
ISSN
0016-2663

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Einstein–Kähler metrics on certain compl
✍ Adnène Ben Abdesselem; Pascal Cherrier 📂 Article 📅 2000 🏛 Elsevier Science 🌐 French ⚖ 160 KB

We study a class of compact complex manifolds, with positive first Chern class, fibered over products of projective spaces. We prove that these bundles carry Einstein-Kähler metrics when the projective spaces of the basis have the same dimension. When this dimensional condition is not satisfied, we