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Extremal Kähler metrics and energy functionals on projective bundles

✍ Scribed by Haozhao Li


Publisher
Springer
Year
2011
Tongue
English
Weight
260 KB
Volume
41
Category
Article
ISSN
0232-704X

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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