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Einstein–Kähler metrics on certain complex bundles

✍ Scribed by Adnène Ben Abdesselem; Pascal Cherrier

Publisher
Elsevier Science
Year
2000
Tongue
French
Weight
160 KB
Volume
124
Category
Article
ISSN
0007-4497

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✦ Synopsis

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 estimate their Ricci tensor in another paper.

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