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arXiv · 2109.15229

On canonical radial Kaehler metrics

Andrea Loi·Filippo Salis·Fabio Zuddas
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Abstract

We prove that a radial Kaehler metric g is Kaehler-Einstein if and only if one of the following conditions is satisfied: 1. g is extremal and it is associated to a Kaehler-Ricci soliton; 2. two different generalized scalar curvatures of g are constant; 3. g is extremal (not cscK) and one of its generalized scalar curvature is constant.

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Andrea Loi, Filippo Salis, Fabio Zuddas. 2021-09-30. On canonical radial Kaehler metrics. https://doi.org/10.18910/92406

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