We show that the Ricci flat Caiabi's metrics on holomorphic line bundles over compact Kahler-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 C2 at the origin is not projectively induced.

Ricci flat Calabi's metric is not projectively induced

Andrea Loi;Michela Zedda
;
Fabio Zuddas
2021-01-01

Abstract

We show that the Ricci flat Caiabi's metrics on holomorphic line bundles over compact Kahler-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 C2 at the origin is not projectively induced.
2021
Calabi's diastasis function; Flag manifold; Projectively induced metric; Ricci flat metric
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11584/281322
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