On canonical radial Kaehler metrics
Differential Geometry
2025-12-23 v1
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.
Keywords
Cite
@article{arxiv.2109.15229,
title = {On canonical radial Kaehler metrics},
author = {Andrea Loi and Filippo Salis and Fabio Zuddas},
journal= {arXiv preprint arXiv:2109.15229},
year = {2025}
}
Comments
11 pages. arXiv admin note: text overlap with arXiv:2105.10695