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Locally conformally Kähler metrics on certain non-Kählerian surfaces

✍ Scribed by Marco Brunella

Publisher
Springer
Year
2009
Tongue
English
Weight
195 KB
Volume
346
Category
Article
ISSN
0025-5831

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Einstein–Kähler metrics on certain compl
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✍ 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