Ricci flat Calabi's metric is not projectively induced
Differential Geometry
2019-12-12 v1 Complex Variables
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 C^2 at the origin is not projectively induced.
Keywords
Cite
@article{arxiv.1912.05223,
title = {Ricci flat Calabi's metric is not projectively induced},
author = {Andrea Loi and Michela Zedda and Fabio Zuddas},
journal= {arXiv preprint arXiv:1912.05223},
year = {2019}
}
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10 pages