2021 Ricci flat Calabi's metric is not projectively induced
Andrea Loi, Michela Zedda, Fabio Zuddas
Tohoku Math. J. (2) 73(1): 29-37 (2021). DOI: 10.2748/tmj.20191211

Abstract

We show that the Ricci flat Calabi's metrics on holomorphic line bundles over compact Kähler--Einstein manifolds are not projectively induced. As a byproduct we solve a conjecture addressed in [10] by proving that any multiple of the Eguchi-Hanson metric on the blow-up of $\mathbb{C}^2$ at the origin is not projectively induced.

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Andrea Loi. Michela Zedda. Fabio Zuddas. "Ricci flat Calabi's metric is not projectively induced." Tohoku Math. J. (2) 73 (1) 29 - 37, 2021. https://doi.org/10.2748/tmj.20191211

Information

Published: 2021
First available in Project Euclid: 22 March 2021

Digital Object Identifier: 10.2748/tmj.20191211

Subjects:
Primary: 53C55
Secondary: 58C25 , 58F06

Keywords: Calabi's diastasis function , flag manifold , projectively induced metric , Ricci flat metric

Rights: Copyright © 2021 Tohoku University

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Vol.73 • No. 1 • 2021
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