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Ricci flat Calabi's metric is not projectively induced

2019/12/11 by Loi, Andrea, Zedda, Michela, Zuddas, Fabio
#Complex Variables (math.CV) #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1912.05223

Abstract

We show that the Ricci flat Calabi's metrics on holomorphic line bundles over compact Kaehler-Einstein manifolds are not projectively induced. As a byproduct we solve a conjecture addressed in [arXiv:1705.03908v2 [math.DG]] by proving that any multiple of the Eguchi-Hanson metric on the blow-up of C2 at the origin is not projectively induced.

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