Conformally K\"ahler, Einstein-Maxwell metrics on Hirzebruch surfaces
Differential Geometry
2021-01-08 v2
Abstract
In this note we prove that a special family of Killing potentials on certain Hirzebruch complex surfaces, found by Futaki and Ono, gives rise to new conformally K\"ahler, Einstein-Maxwell metrics. The correspondent K\"ahler metrics are ambitoric but they are not given by the Calabi ansatz. This answers in positive questions raised by Futaki-Ono.
Keywords
Cite
@article{arxiv.2001.11541,
title = {Conformally K\"ahler, Einstein-Maxwell metrics on Hirzebruch surfaces},
author = {Isaque Viza de Souza},
journal= {arXiv preprint arXiv:2001.11541},
year = {2021}
}
Comments
22 pages, updated references, corrected typos, revised and expanded section 6, results unchanged. Comments are welcome