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Ricci flat Calabi's metric is not projectively induced

Published 11 Dec 2019 in math.DG and math.CV | (1912.05223v1)

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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